Find Least Common Multiple of 38, 95, 152 and 133 using division method..

Answer

LCM( 38, 95, 152, 133 ) = 5320

Explanation

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

152

133

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	38	95	152	133
	19	95	76	133

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

2	38	95	152	133
2	19	95	76	133
2	19	95	38	133
5	19	95	19	133
7	19	19	19	133
19	19	19	19	19
	1	1	1	1

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

LCM( 38, 95, 152, 133 ) = 2 · 2 · 2 · 5 · 7 · 19 = 5320 .

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2	38	95	152	133
2	19	95	76	133
2	19	95	38	133
5	19	95	19	133
7	19	19	19	133
19	19	19	19	19
	1	1	1	1

2	38	95	152	133
2	19	95	76	133
2	19	95	38	133
5	19	95	19	133
7	19	19	19	133
19	19	19	19	19
	1	1	1	1

2	38	95	152	133
2	19	95	76	133
2	19	95	38	133
5	19	95	19	133
7	19	19	19	133
19	19	19	19	19
	1	1	1	1