Find Least Common Multiple of 4, 6, 8, 12 and 16 using prime factorisation method.

Answer

LCM( 4, 6, 8, 12, 16 ) = 48

Explanation

Step 1: Write down factorisation of each number:

4 = 2 · 2

6 = 2 · 3

8 = 2 · 2 · 2

12 = 2 · 2 · 3

16 = 2 · 2 · 2 · 2

Step 2 : Match primes vertically:

4	=	2	·	2
6	=	2	·						3
8	=	2	·	2	·	2
12	=	2	·	2	·				3
16	=	2	·	2	·	2	·	2

Step 3 : Bring down numbers in each column and multiply to get LCM:

4	=	2	·	2
6	=	2	·							3
8	=	2	·	2	·	2
12	=	2	·	2	·					3
16	=	2	·	2	·	2	·	2
LCM	=	2	·	2	·	2	·	2	·	3	=	48

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4	=	2	·	2
6	=	2	·							3
8	=	2	·	2	·	2
12	=	2	·	2	·					3
16	=	2	·	2	·	2	·	2
LCM	=	2	·	2	·	2	·	2	·	3	=	48

4	=	2	·	2
6	=	2	·							3
8	=	2	·	2	·	2
12	=	2	·	2	·					3
16	=	2	·	2	·	2	·	2
LCM	=	2	·	2	·	2	·	2	·	3	=	48

4	=	2	·	2
6	=	2	·							3
8	=	2	·	2	·	2
12	=	2	·	2	·					3
16	=	2	·	2	·	2	·	2
LCM	=	2	·	2	·	2	·	2	·	3	=	48