Question

Find the LCM of 693, 495 and 297.

Answer 1

$LCM(693, 495, 297) = \frac{693 \cdot 495 \cdot 297}{GCD(693, 495, 297)} = 10395.$

Answer 2

Solution:

we have been asked to find the LCM of 693, 495 and 297.

To find the LCM of the three given numbers , we will find the prime factors of each of the three numbers and thereafter we will multiply each factor the greatest number of times it occurs in either number.

Prime factors of 693 are:

$693=3*3*7*11=3^2*7^1*11^1$

Prime factors of 495 are:

$495=3*3*5*11=3^2*5^1*11^1$

Prime factors of 297 are:

$495=3*3*3*11=3^3*11^1$

Hence the LCM is $3^3*5*7*11=10395$