Find Least Common Multiple of 190, 46 and 38 using prime factorisation method.
Answer
LCM( 190, 46, 38 ) = 4370
Explanation
Step 1: Write down factorisation of each number:
190 = 2 · 5 · 19
46 = 2 · 23
38 = 2 · 19
Step 2 : Match primes vertically:
| 190 | = | 2 | · | 5 | · | 19 | ||
| 46 | = | 2 | · | 23 | ||||
| 38 | = | 2 | · | 19 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 190 | = | 2 | · | 5 | · | 19 | ||||
| 46 | = | 2 | · | 23 | ||||||
| 38 | = | 2 | · | 19 | ||||||
| LCM | = | 2 | · | 5 | · | 19 | · | 23 | = | 4370 |
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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