Question

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find out l.c.m of 8, 9, 25
by factorisation method
​

Answer 1

Answer:

1800

hope it helps.....

Answer 2

Answer:

Least Common Multiple(LCM):

• It is the smallest common Multiple of two integers.
• It is the smallest positive integer that is divisible by both integers.
• We can find the LCM of two or more numbers by prime factorization method.

Given:

We have been given three numbers : 8, 9 and 25.

To Find:

We need to find their LCM.

Solution:

Prime Factorization of 8 = 2 × 2 × 2

Prime Factorization of 9 = 3 × 3

Prime Factorization of 25 = 5 × 5

LCM of 8, 9 and 25 = 2 × 2 × 2 × 3 × 3 × 5 × 5

= 2^3 × 3^2 × 5^2

= 72 × 25

= 1800

Therefore the LCM of 8, 9 and 25 is 1800.