Question
Find Least Common Multiple of 364, 480, 680 and 600 using division method..
Answer
LCM( 364, 480, 680, 600 ) = 3712800
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 364 | 480 | 680 | 600 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 2.
(if any number is not divisible by 2, write it down unchanged)
| 2 | 364 | 480 | 680 | 600 |
| 182 | 240 | 340 | 300 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 364 | 480 | 680 | 600 |
| 2 | 182 | 240 | 340 | 300 |
| 2 | 91 | 120 | 170 | 150 |
| 2 | 91 | 60 | 85 | 75 |
| 2 | 91 | 30 | 85 | 75 |
| 3 | 91 | 15 | 85 | 75 |
| 5 | 91 | 5 | 85 | 25 |
| 5 | 91 | 1 | 17 | 5 |
| 7 | 91 | 1 | 17 | 1 |
| 13 | 13 | 1 | 17 | 1 |
| 17 | 1 | 1 | 17 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 364, 480, 680, 600 ) = 2 · 2 · 2 · 2 · 2 · 3 · 5 · 5 · 7 · 13 · 17 = 3712800 .
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