Least Common Multiple of 63, 72, 21, 348

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, 72, 21, 348 i.e. 14616 smallest integer divisible by all numbers.

Least common multiple (LCM) of 63, 72, 21, 348 is 14616.

LCM(63, 72, 21, 348) = 14616

LCM of 63, 72, 21, 348

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

LCM of:

Least Common Multiple of 63,72,21,348

Least Common Multiple (LCM) of 63,72,21,348 is 14616

2 63, 72, 21, 348
2 63, 36, 21, 174
3 63, 18, 21, 87
3 7, 6, 21, 29
7 7, 2, 7, 29
1, 2, 1, 29

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 1 x 2 x 1 x 29 = 14616

Least Common Multiple of 63,72,21,348 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 63,72,21,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,72,21,348) = 3

common factors(in case of two or more numbers have common factors) = 756

GCF(63,72,21,348) x common factors =3 x 756 = 2268

LCM(63,72,21,348) = ( 63 × 72 × 21 × 348 ) / 2268

LCM(63,72,21,348) = 33149088 / 2268

LCM(63,72,21,348) = 14616

∴ Least Common Multiple of 63,72,21,348 is 14616

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 63, 72, 21, 348

1. What is the LCM of 63, 72, 21, 348?

Answer: LCM of 63, 72, 21, 348 is 14616.

2. What are the Factors of 14616?

Answer: Factors of 14616 are . There are integers that are factors of 14616

3. How to Find the LCM of 63, 72, 21, 348 ?

Least Common Multiple of 63, 72, 21, 348.

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, 72, 21, 348) = 2 x 2 x 2 x 3 x 3 x 7 x 29 = 14616.