Math, asked by dasjityabrata, 12 hours ago

LCM of 200 60 120 in divison method​

Answers

Answered by HappinessCupcake
3

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.

Hope that helps

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