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Number - Lowest Common Multiples

  a - answer    s - solution    v - video

Question 1


List the first $5$ multiples of each number and find their lowest common multiple

a) $2,3$  a s v
b) $3,4$  a s v
c) $6,8$  a s v
d) $4,8$  a s v
e) $6,10$  a s v
f) $8,12$  a s v
g) $15,20$  a s v
h) $30,50$  a s v


Question 2


List the first $6$ multiples of each number and find their lowest common multiple

a) $2,3,4$  a s v
b) $4,6,8$  a s v
c) $5,6,10$  a s v
d) $6,9,12$  a s v
e) $5,8,20$  a s v
f) $10,12,15$  a s v


Question 3


List the first $15$ multiples of each number and find their lowest common multiple

a) $2,3,5$  a s v
b) $2,3,7$  a s v
c) $4,7,9$  a s v
d) $4,5,6$  a s v
e) $3,4,10$  a s v


Question 4


List the first $10$ multiples of each number and find their lowest common multiple

a) $9,15$  a s v
b) $12,14$  a s v
c) $16,24$  a s v
d) $12,21$  a s v
e) $14,16$  a s v
f) $15,80$  a s v
g) $24,28$  a s v
h) $42,60$  a s v


Question 5


By finding prime factors, find the lowest common multiple of:

a) $14,15$  a s v
b) $15,22$  a s v
c) $20,44$  a s v
d) $21,35$  a s v
e) $28,30$  a s v
f) $14,25$  a s v
g) $15,32$  a s v
h) $12,52$  a s v


Question 6


By finding prime factors, find the lowest common multiple of:

a) $12,15,16$  a s v
b) $15,16,32$  a s v
c) $20,24,32$  a s v
d) $15,20,25$  a s v
e) $28,42,63$  a s v
f) $24,32,40$  a s v
g) $24,30,54$  a s v
h) $39,65,78$  a s v


Question 7


By finding prime factors, find the lowest common multiple of:

a) $42,68$  a s v
b) $92,100$  a s v
c) $45,66$  a s v
d) $85,98$  a s v
e) $36,55$  a s v
f) $44,105$  a s v
g) $46,87$  a s v
h) $67,91$  a s v


Question 8


By finding prime factors, find the lowest common multiple of:

a) $20,35,40$  a s v
b) $18,25,38$  a s v
c) $52,68,78$  a s v
d) $36,64,78$  a s v
e) $35,52,98$  a s v
f) $104,105,112$  a s v
g) $85,130,200$  a s v
h) $17,62,99$  a s v


Question 9


Answer the following

a) Consider the following list of prime factors:

$30=2\times3\times5$
$42=2\times3\times7$

Find the Lowest Common Multiple of $30$ and $42$  a s v

b) Consider the following list of prime factors:

$70=2\times5\times7$
$105=3\times5\times7$

Find the Lowest Common Multiple of $70$ and $105$  a s v

c) Consider the following list of prime factors:

$12=2\times2\times3$
$66=2\times3\times11$

Find the Lowest Common Multiple of $12$ and $66$  a s v

d) Consider the following list of prime factors:

$90=2\times3\times3\times5$
$56=2\times2\times2\times7$

Find the Lowest Common Multiple of $90$ and $56$  a s v



Question 10


Find what is missing from the boxes

a) Consider the following list of prime factors:

$30=2\times3\times5$
$105=3\times5\times7$

The Lowest Common Multiple of $30$ and $105=2\times\square\times5\times7$  a s v

b) Consider the following list of prime factors:

$20=2\times2\times5$
$18=2\times3\times3$

The Lowest Common Multiple of $20$ and $18$ is $2\times2\times\square\times\square\times\square$  a s v

c) Consider the following list of prime factors:

$56=2^3\times7$
$70=2\times5\times7$

The Lowest Common Multiple of $56$ and $70$ is $\square\times\square\times\square\times5\times7$  a s v

d) Consider the following list of prime factors:

$495=3^2\times5\times11$
$825=3\times5^2\times11$

The Lowest Common Multiple of $495$ and $825$ is $3^2\times\square^2\times\square$  a s v