Find Least Common Multiple of 2, 5, 11 and 35 using prime factorisation method.
Answer
LCM( 2, 5, 11, 35 ) = 770
Explanation
Step 1: Write down factorisation of each number:
2 = 2
5 = 5
11 = 11
35 = 5 · 7
Step 2 : Match primes vertically:
| 2 | = | 2 | ||||||
| 5 | = | 5 | ||||||
| 11 | = | 11 | ||||||
| 35 | = | 5 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 2 | = | 2 | ||||||||
| 5 | = | 5 | ||||||||
| 11 | = | 11 | ||||||||
| 35 | = | 5 | · | 7 | ||||||
| LCM | = | 2 | · | 5 | · | 7 | · | 11 | = | 770 |
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