Find Least Common Multiple of 12, 34, 56, 78 and 94 using division method..

Answer

LCM( 12, 34, 56, 78, 94 ) = 1745016

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	12	34	56	78	94
	6	17	28	39	47

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

2	12	34	56	78	94
2	6	17	28	39	47
2	3	17	14	39	47
3	3	17	7	39	47
7	1	17	7	13	47
13	1	17	1	13	47
17	1	17	1	1	47
47	1	1	1	1	47
	1	1	1	1	1

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

LCM( 12, 34, 56, 78, 94 ) = 2 · 2 · 2 · 3 · 7 · 13 · 17 · 47 = 1745016 .

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2	12	34	56	78	94
2	6	17	28	39	47
2	3	17	14	39	47
3	3	17	7	39	47
7	1	17	7	13	47
13	1	17	1	13	47
17	1	17	1	1	47
47	1	1	1	1	47
	1	1	1	1	1

2	12	34	56	78	94
2	6	17	28	39	47
2	3	17	14	39	47
3	3	17	7	39	47
7	1	17	7	13	47
13	1	17	1	13	47
17	1	17	1	1	47
47	1	1	1	1	47
	1	1	1	1	1

2	12	34	56	78	94
2	6	17	28	39	47
2	3	17	14	39	47
3	3	17	7	39	47
7	1	17	7	13	47
13	1	17	1	13	47
17	1	17	1	1	47
47	1	1	1	1	47
	1	1	1	1	1