Find Least Common Multiple of 85, 284, 164 and 215 using division method..

Answer

LCM( 85, 284, 164, 215 ) = 42558820

Explanation

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

284

164

215

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	85	284	164	215
	85	142	82	215

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

2	85	284	164	215
2	85	142	82	215
5	85	71	41	215
17	17	71	41	43
41	1	71	41	43
43	1	71	1	43
71	1	71	1	1
	1	1	1	1

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

LCM( 85, 284, 164, 215 ) = 2 · 2 · 5 · 17 · 41 · 43 · 71 = 42558820 .

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2	85	284	164	215
2	85	142	82	215
5	85	71	41	215
17	17	71	41	43
41	1	71	41	43
43	1	71	1	43
71	1	71	1	1
	1	1	1	1

2	85	284	164	215
2	85	142	82	215
5	85	71	41	215
17	17	71	41	43
41	1	71	41	43
43	1	71	1	43
71	1	71	1	1
	1	1	1	1

2	85	284	164	215
2	85	142	82	215
5	85	71	41	215
17	17	71	41	43
41	1	71	41	43
43	1	71	1	43
71	1	71	1	1
	1	1	1	1