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Multiple choice maths be my multiple, i'll be your factor co-prime numbers lcm lowest common multiple (l.c.m.)

the first four common multiple of numbers $6,8,10$ are

  1. $10,20,30,40$
  2. $120,240,360,480$
  3. $8,40,80,120$
  4. $6,60,120,240$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
$6 = 2\times3$
$8 = 2^{3}$
$10 = 2\times5$

$\Rightarrow$ LCM of $6,8,10 = 2^{3}\times3\times5 = 120$

$\therefore 120$ is the least common multiple of $6,8,10$. Thus, all multiples of $120$ are common multiples of $6,8$ and $10$.

$\therefore$ First four common multiples $= 120,240,360,480$
Multiple choice maths be my multiple, i'll be your factor co-prime numbers lcm lowest common multiple (l.c.m.)

The 1st three common multiple of numbers $12,8,16 $ are

  1. $12,24,36$
  2. $8,16,24$
  3. $16,32,48$
  4. $48,96,144$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
$12 = 2^{2}\times3$
$8 = 2^{3}$
$16 = 2^{4}$

$\Rightarrow$ LCM of $12,8,16 = 2^{4}\times3 = 48$

$\therefore 48$ is the least common multiple of $12,8,16$. Thus, all multiples of $48$ are common multiples of $12,8$ and $16$.

$\therefore$ First three common multiples $= 48,96,144$
Multiple choice maths be my multiple, i'll be your factor co-prime numbers lcm lowest common multiple (l.c.m.)

Find first five common multiples of $1,2$ and $3$.

  1. $2,4,8,10,20$
  2. $3,6,12,30,60$
  3. $6,12,18,24,30$
  4. $1,2,3,4,5$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
$\Rightarrow$ LCM of $1,2,3 = 1\times2\times3 = 6$

$\therefore 6$ is the least common multiple of $1,2,3$. Thus, all multiples of $6$ are common multiples of $1,2$ and $3$.

$\therefore$ First five common multiples $= 6,12,18,24,30$