# Number - Lowest Common Multiples

**a** - answer **s** - solution **v** - video **d** - discussion

**Question 1**

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

**Question 2**

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

**Question 3**

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

**Question 4**

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

**Question 5**

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

**Question 6**

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

**Question 7**

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

**Question 8**

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

**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 d

$30=2\times3\times5$

$42=2\times3\times7$

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

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 d

$70=2\times5\times7$

$105=3\times5\times7$

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

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

$12=2\times2\times3$

$66=2\times3\times11$

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

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 d

$90=2\times3\times3\times5$

$56=2\times2\times2\times7$

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

**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 d

$30=2\times3\times5$

$105=3\times5\times7$

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

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 d

$20=2\times2\times5$

$18=2\times3\times3$

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

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

$56=2^3\times7$

$70=2\times5\times7$

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

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 d

$495=3^2\times5\times11$

$825=3\times5^2\times11$

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