Find Least Common Multiple of 25, 59 and 95 using prime factorisation method.
Answer
LCM( 25, 59, 95 ) = 28025
Explanation
Step 1: Write down factorisation of each number:
25 = 5 · 5
59 = 59
95 = 5 · 19
Step 2 : Match primes vertically:
| 25 | = | 5 | · | 5 | ||||
| 59 | = | 59 | ||||||
| 95 | = | 5 | · | 19 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 25 | = | 5 | · | 5 | ||||||
| 59 | = | 59 | ||||||||
| 95 | = | 5 | · | 19 | ||||||
| LCM | = | 5 | · | 5 | · | 19 | · | 59 | = | 28025 |
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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