Tag: lcm

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Questions Related to lcm

Multiple choice maths hcf-lcm introduction to multiples multiples lcm

Which of the following is NOT a positive multiple of $12$?

  1. $3$
  2. $12$
  3. $24$
  4. $48$
  5. $60$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$3$ is not a positive multiple of $12$ as it is smaller than $12$.
Rest others are multiples of $12$.

Multiple choice maths hcf-lcm introduction to multiples multiples lcm

Find the first four common multiples of the following : 

$3$ and $4$.

  1. $24, 28, 32, 36$
  2. $24, 27, 33, 36$
  3. $12, 24, 36, 48$
  4. $12, 15, 20, 24$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Multiples of $ 3 = 3, 6, 9, 12, 15, 18.. $
Multiples of $ 4 = 4, 8, 12, 16, 20.. $

The first common multiple will be $ 12 $

And the next common multiples will be multiples of $ 12 $

Hence, first four common multiples of $ 3, 4 $ are $ 12, 24, 36, 48 $

Multiple choice maths hcf-lcm introduction to multiples multiples lcm

Find the first four common multiples of the following :

$3, 4$ and $6$.

  1. $72, 78, 84, 90$
  2. $12, 24, 36, 48$
  3. $24, 30, 36, 42$
  4. $8, 12, 16, 21$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Multiples of $ 3 = 3, 6, 9, 12, 15, 18.. $
Multiples of $ 4 = 4, 8, 12, 16, 20.. $

Multiples of $ 6 = 6, 12, 18, 36.. $ 


The first common multiple will be $ 12 $

And the next common multiples will be multiples of $ 12 $

Hence, first four common multiples of $ 3, 4, 6 $ are $ 12, 24, 36, 48 $

Multiple choice maths hcf-lcm introduction to multiples multiples lcm

State the following statement is True or False

The first six multiples of  $13$ are:$13,26,39,52,65,78$.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

First six multiples of  $ 13 = 13\times 1+13\times 2+13\times 3+13\times 4+13\times 5+13\times 6$

i.e.
$13, 26, 39, 52, 65, 78 $
The given statement is true.

Multiple choice maths hcf-lcm introduction to multiples multiples lcm

Find the first four common multiples of the following :

$8$ and $12$.

  1. $24, 48, 72, 96$
  2. $24, 36, 48, 56$
  3. $24, 32, 40, 48$
  4. $48, 72, 96, 120$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Multiples of $ 8 = 8, 16, 24, 32, .. $
Multiples of $ 12 = 12, 24, 36, 48... $

The first common multiple will be $ 24 $

And the next common multiples will be multiples of $ 24 $

Hence, first four common multiples of $ 8, 12 $ are $ 24, 48, 72, 96  $

Multiple choice maths hcf-lcm introduction to multiples multiples lcm

Find the first six multiples of $17$

  1. $17, 51, 85, 102, 119$
  2. $34, 76, 102, 119, 340$
  3. $34, 51, 68, 102, 170$
  4. $17, 34, 51, 68, 85, 102$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

First six multiples of $ 17 =  17, 34, 51, 68, 85$ and $102. $

Multiple choice maths hcf-lcm introduction to multiples multiples lcm

If A, B and C are three numbers such that L.C.M. of A and B is B and the L.C.M. of B and C is C then the L.C.M. of A, B and C is

  1. A

  2. B

  3. C
  4. $\displaystyle \frac{A+B+C}{3}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

LCM of A and B is B it means that B is multiple of A. LCM of B and C is C it means C is multiple of B or we can say that C is multiple of A also.

So LCM of A,B ,C is C so correct answer is option C

Multiple choice maths hcf-lcm introduction to multiples multiples lcm

The sum of the first five multiples of $6$  is

  1. $90$
  2. $60$
  3. $30$
  4. $120$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

first five multiple of 6 are 

$6\times 1=6$
$6\times 2=12$
$6\times 3=18$
$6\times 4=24$
$6\times 5=30$
Their sum will be $6+12+18+24+30=90$
So correct answer will be option A

Multiple choice maths hcf-lcm introduction to multiples multiples lcm

Find a number which has a multiple of all the numbers from $1$ to $10?$

  1. $5040$
  2. $1260$
  3. $720$
  4. $1440$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Number which has a multiple of all the numbers from 1 to 10 will be multiple of their LCM.

$LCM (1,2,3,4,5,6,7,8,9,10)= 2520$
The only multiple of 2520 from the options is 5040 which is option A so correct answer will be option A

Multiple choice maths hcf-lcm introduction to multiples multiples lcm

Find a possible value of $v$, if the least common multiple of $9, 10, 12$ and $v$ is $540$.

  1. 18

  2. 24

  3. 27

  4. 36

  5. 45
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

LCM of 9,10,12

$9=3\times 3$
$10=2\times 5$
$12=2\times 2\times 3$
$LCM(9,10,12)=2\times 2\times 3\times 3\times 5=180$
180 is also multiply of 18,36,45.If v is 18,36 and 45 than LCM of all the number would be 180 but its 540 so the answer is Option C.