Question

write any two three digit numbers. find their l.c.m and g.c.d by prime factorization method.​

Answer 1

Answer:

Step-by-step explanation:

Hope this helps. :)

Answer 2

Answer:

LCM (252, 324) = 2268

GCD (252, 324) = 36

Step-by-step explanation:

To find,

The LCM and GCD of two three-digit numbers by prime factorization method

Solution:

Let us take the two three-digit numbers 252 and 324

The prime factorization of 252 = 2×2×3×3×7

The prime factorization of 324 = 2×2×3×3×3×3

To find LCM

In the prime factorization of 252 and 324, the prime factor 2 should contain 2 times, the prime factor 3 should contain 4 times and the prime factor 7 should contain once.

Hence, LCM (252, 324) = 2×2×3×3×3×3×7

= 2268

Again, to find the GCD

The common divisors of 252 and 324 = 2×2, 3×3

The greatest common divisor of 252 and 324 = 2×2×3×3 = 36

∴LCM (252, 324) = 2268

GCD (252, 324) = 36

#SPJ2