Question

Find the LCM and HFC of 8,9,25

Answer 1

Step-by-step explanation:

The prime factors of 8, 9 and 25 are :  

8 = 2 x 2 x2 = 2³

9 = 3 x 3 = 3²

25 = 5 x 5 = 5²

L.C.M of 8, 9 and 25 = 2³  x 3² x 5² = 2 x 2 x2 × 3 x 3 × 5 x 5

L.C.M of 8, 9 and 25 = 1800

[LCM of two or more numbers = product of the greatest power of each prime factor involved in the numbers, with highest power.]

H.C.F of 8, 9 and 25 = 1

[HCF(Highest Common Factor) of two or more numbers= Product of the smallest Power of each common prime factor involved in the numbers.]

Hence, H.C.F(8, 9 and 25) = 1  & L.C.M (8, 9 and 25 ) = 1800.