Find Least Common Multiple of 172, 162, 134 and 166 using division method..

Answer

LCM( 172, 162, 134, 166 ) = 77475852

Explanation

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

172

162

134

166

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	172	162	134	166
	86	81	67	83

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

2	172	162	134	166
2	86	81	67	83
3	43	81	67	83
3	43	27	67	83
3	43	9	67	83
3	43	3	67	83
43	43	1	67	83
67	1	1	67	83
83	1	1	1	83
	1	1	1	1

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

LCM( 172, 162, 134, 166 ) = 2 · 2 · 3 · 3 · 3 · 3 · 43 · 67 · 83 = 77475852 .

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2	172	162	134	166
2	86	81	67	83
3	43	81	67	83
3	43	27	67	83
3	43	9	67	83
3	43	3	67	83
43	43	1	67	83
67	1	1	67	83
83	1	1	1	83
	1	1	1	1

2	172	162	134	166
2	86	81	67	83
3	43	81	67	83
3	43	27	67	83
3	43	9	67	83
3	43	3	67	83
43	43	1	67	83
67	1	1	67	83
83	1	1	1	83
	1	1	1	1

2	172	162	134	166
2	86	81	67	83
3	43	81	67	83
3	43	27	67	83
3	43	9	67	83
3	43	3	67	83
43	43	1	67	83
67	1	1	67	83
83	1	1	1	83
	1	1	1	1