Find Least Common Multiple of 36, 42, 48 and 38 using division method..

Answer

LCM( 36, 42, 48, 38 ) = 19152

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	36	42	48	38
	18	21	24	19

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

2	36	42	48	38
2	18	21	24	19
2	9	21	12	19
2	9	21	6	19
3	9	21	3	19
3	3	7	1	19
7	1	7	1	19
19	1	1	1	19
	1	1	1	1

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

LCM( 36, 42, 48, 38 ) = 2 · 2 · 2 · 2 · 3 · 3 · 7 · 19 = 19152 .

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2	36	42	48	38
2	18	21	24	19
2	9	21	12	19
2	9	21	6	19
3	9	21	3	19
3	3	7	1	19
7	1	7	1	19
19	1	1	1	19
	1	1	1	1

2	36	42	48	38
2	18	21	24	19
2	9	21	12	19
2	9	21	6	19
3	9	21	3	19
3	3	7	1	19
7	1	7	1	19
19	1	1	1	19
	1	1	1	1

2	36	42	48	38
2	18	21	24	19
2	9	21	12	19
2	9	21	6	19
3	9	21	3	19
3	3	7	1	19
7	1	7	1	19
19	1	1	1	19
	1	1	1	1