Find Least Common Multiple of 484, 682, 840 and 620 using prime factorisation method.
Answer
LCM( 484, 682, 840, 620 ) = 3150840
Explanation
Step 1: Write down factorisation of each number:
484 = 2 · 2 · 11 · 11
682 = 2 · 11 · 31
840 = 2 · 2 · 2 · 3 · 5 · 7
620 = 2 · 2 · 5 · 31
Step 2 : Match primes vertically:
| 484 | = | 2 | · | 2 | · | 11 | · | 11 | ||||||||||
| 682 | = | 2 | · | 11 | · | 31 | ||||||||||||
| 840 | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 7 | ||||||
| 620 | = | 2 | · | 2 | · | 5 | · | 31 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 484 | = | 2 | · | 2 | · | 11 | · | 11 | ||||||||||||
| 682 | = | 2 | · | 11 | · | 31 | ||||||||||||||
| 840 | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 7 | ||||||||
| 620 | = | 2 | · | 2 | · | 5 | · | 31 | ||||||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 7 | · | 11 | · | 11 | · | 31 | = | 3150840 |
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