LCM of 200 60 120 in divison method
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Problem:
Find the Least Common Multiple of 200, 60 and 120 using the division method.
Answer:
LCM( 200, 60, 120 ) = 600
Step-by-step explanation:
Step 1: Write the given numbers in a horizontal line.
200 60 120
Step 2: Divide the given numbers by the smallest prime number. In this example, we can divide by 2.
(if any number is not divisible by 2, write it down unchanged)
2 200 60 120
100 30 60
Step 3: Continue dividing by prime numbers till we get 1 in all columns.
2 200 60 120
2 100 30 60
2 50 15 30
3 25 15 15
5 25 5 5
5 5 1 1
1 1 1
Step 4: Multiply numbers in the first column to get LCM.
LCM( 200, 60, 120 ) = 2 · 2 · 2 · 3 · 5 · 5 = 600.
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