Find Least Common Multiple of 72, 42, 35, 45 and 20 using division method..

Answer

LCM( 72, 42, 35, 45, 20 ) = 2520

Explanation

Step 1 : Write the given numbers in a horizontal line.

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	72	42	35	45	20
	36	21	35	45	10

Step 3 : Continue dividing by prime numbers till we get 1 in all columns.

2	72	42	35	45	20
2	36	21	35	45	10
2	18	21	35	45	5
3	9	21	35	45	5
3	3	7	35	15	5
5	1	7	35	5	5
7	1	7	7	1	1
	1	1	1	1	1

Step 4 : Multiply numbers in first column to get LCM.

LCM( 72, 42, 35, 45, 20 ) = 2 · 2 · 2 · 3 · 3 · 5 · 7 = 2520 .

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2	72	42	35	45	20
2	36	21	35	45	10
2	18	21	35	45	5
3	9	21	35	45	5
3	3	7	35	15	5
5	1	7	35	5	5
7	1	7	7	1	1
	1	1	1	1	1

2	72	42	35	45	20
2	36	21	35	45	10
2	18	21	35	45	5
3	9	21	35	45	5
3	3	7	35	15	5
5	1	7	35	5	5
7	1	7	7	1	1
	1	1	1	1	1

2	72	42	35	45	20
2	36	21	35	45	10
2	18	21	35	45	5
3	9	21	35	45	5
3	3	7	35	15	5
5	1	7	35	5	5
7	1	7	7	1	1
	1	1	1	1	1