Find Least Common Multiple of 4, 7, 10 and 3 using prime factorisation method.
Answer
LCM( 4, 7, 10, 3 ) = 420
Explanation
Step 1: Write down factorisation of each number:
4 = 2 · 2
7 = 7
10 = 2 · 5
3 = 3
Step 2 : Match primes vertically:
| 4 | = | 2 | · | 2 | ||||||
| 7 | = | 7 | ||||||||
| 10 | = | 2 | · | 5 | ||||||
| 3 | = | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 4 | = | 2 | · | 2 | ||||||||
| 7 | = | 7 | ||||||||||
| 10 | = | 2 | · | 5 | ||||||||
| 3 | = | 3 | ||||||||||
| LCM | = | 2 | · | 2 | · | 3 | · | 5 | · | 7 | = | 420 |
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