Find Least Common Multiple of 59, 88 and 1 using prime factorisation method.
Answer
LCM( 59, 88, 1 ) = 5192
Explanation
Step 1: Write down factorisation of each number:
59 = 59
88 = 2 · 2 · 2 · 11
1 = 1
Step 2 : Match primes vertically:
| 59 | = | 59 | ||||||||||
| 88 | = | 2 | · | 2 | · | 2 | · | 11 | ||||
| 1 | = | 1 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 59 | = | 59 | ||||||||||||
| 88 | = | 2 | · | 2 | · | 2 | · | 11 | ||||||
| 1 | = | 1 | ||||||||||||
| LCM | = | 1 | · | 2 | · | 2 | · | 2 | · | 11 | · | 59 | = | 5192 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
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