Least Common Multiple of 63, 75, 98, 72, 216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 63, 75, 98, 72, 216 i.e. 264600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 63, 75, 98, 72, 216 is 264600.

LCM(63, 75, 98, 72, 216) = 264600

LCM of 63, 75, 98, 72, 216

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 63,75,98,72,216

Least Common Multiple (LCM) of 63,75,98,72,216 is 264600

2 63, 75, 98, 72, 216
2 63, 75, 49, 36, 108
2 63, 75, 49, 18, 54
3 63, 75, 49, 9, 27
3 21, 25, 49, 3, 9
7 7, 25, 49, 1, 3
1, 25, 7, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 x 1 x 25 x 7 x 1 x 3 = 264600

Least Common Multiple of 63,75,98,72,216 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 63,75,98,72,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,75,98,72,216) = 1

common factors(in case of two or more numbers have common factors) = 27216

GCF(63,75,98,72,216) x common factors =1 x 27216 = 27216

LCM(63,75,98,72,216) = ( 63 × 75 × 98 × 72 × 216 ) / 27216

LCM(63,75,98,72,216) = 7201353600 / 27216

LCM(63,75,98,72,216) = 264600

∴ Least Common Multiple of 63,75,98,72,216 is 264600

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 63, 75, 98, 72, 216

1. What is the LCM of 63, 75, 98, 72, 216?

Answer: LCM of 63, 75, 98, 72, 216 is 264600.

2. What are the Factors of 264600?

Answer: Factors of 264600 are . There are integers that are factors of 264600

3. How to Find the LCM of 63, 75, 98, 72, 216 ?

Least Common Multiple of 63, 75, 98, 72, 216.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(63, 75, 98, 72, 216) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 7 = 264600.