Find Least Common Multiple of 5245 and 930 using prime factorisation method.
Answer
LCM( 5245, 930 ) = 975570
Explanation
Step 1: Write down factorisation of each number:
5245 = 5 · 1049
930 = 2 · 3 · 5 · 31
Step 2 : Match primes vertically:
| 5245 | = | 5 | · | 1049 | ||||||
| 930 | = | 2 | · | 3 | · | 5 | · | 31 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 5245 | = | 5 | · | 1049 | ||||||||
| 930 | = | 2 | · | 3 | · | 5 | · | 31 | ||||
| LCM | = | 2 | · | 3 | · | 5 | · | 31 | · | 1049 | = | 975570 |
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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