Least Common Multiple of 513, 72, 198

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 513, 72, 198 i.e. 45144 smallest integer divisible by all numbers.

Least common multiple (LCM) of 513, 72, 198 is 45144.

LCM(513, 72, 198) = 45144

LCM of 513, 72, 198

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

LCM of:

Least Common Multiple of 513,72,198

Least Common Multiple (LCM) of 513,72,198 is 45144

2 513, 72, 198
3 513, 36, 99
3 171, 12, 33
57, 4, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 57 x 4 x 11 = 45144

Least Common Multiple of 513,72,198 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 513,72,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,72,198) = 9

common factors(in case of two or more numbers have common factors) = 18

GCF(513,72,198) x common factors =9 x 18 = 162

LCM(513,72,198) = ( 513 × 72 × 198 ) / 162

LCM(513,72,198) = 7313328 / 162

LCM(513,72,198) = 45144

∴ Least Common Multiple of 513,72,198 is 45144

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 513, 72, 198

1. What is the LCM of 513, 72, 198?

Answer: LCM of 513, 72, 198 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 513, 72, 198 ?

Least Common Multiple of 513, 72, 198.

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(513, 72, 198) = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 19 = 45144.