LCM( 7, 5, 14, 10 ) = 70
Step 1: Write down factorisation of each number:
7 = 7
5 = 5
14 = 2 · 7
10 = 2 · 5
Step 2 : Match primes vertically:
7 | = | 7 | ||||
5 | = | 5 | ||||
14 | = | 2 | · | 7 | ||
10 | = | 2 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
7 | = | 7 | ||||||
5 | = | 5 | ||||||
14 | = | 2 | · | 7 | ||||
10 | = | 2 | · | 5 | ||||
LCM | = | 2 | · | 5 | · | 7 | = | 70 |