Least Common Multiple of 19, 54, 24, 297

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 19, 54, 24, 297 i.e. 45144 smallest integer divisible by all numbers.

Least common multiple (LCM) of 19, 54, 24, 297 is 45144.

LCM(19, 54, 24, 297) = 45144

LCM of 19, 54, 24, 297

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

LCM of:

Least Common Multiple of 19,54,24,297

Least Common Multiple (LCM) of 19,54,24,297 is 45144

2 19, 54, 24, 297
3 19, 27, 12, 297
3 19, 9, 4, 99
3 19, 3, 4, 33
19, 1, 4, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 19 x 1 x 4 x 11 = 45144

Least Common Multiple of 19,54,24,297 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 19,54,24,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,54,24,297) = 1

common factors(in case of two or more numbers have common factors) = 162

GCF(19,54,24,297) x common factors =1 x 162 = 162

LCM(19,54,24,297) = ( 19 × 54 × 24 × 297 ) / 162

LCM(19,54,24,297) = 7313328 / 162

LCM(19,54,24,297) = 45144

∴ Least Common Multiple of 19,54,24,297 is 45144

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 19, 54, 24, 297

1. What is the LCM of 19, 54, 24, 297?

Answer: LCM of 19, 54, 24, 297 is 45144.

2. What are the Factors of 45144?

Answer: Factors of 45144 are . There are integers that are factors of 45144

3. How to Find the LCM of 19, 54, 24, 297 ?

Least Common Multiple of 19, 54, 24, 297.

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(19, 54, 24, 297) = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 19 = 45144.