Least Common Multiple of 459, 1512

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 459, 1512 i.e. 25704 smallest integer divisible by all numbers.

Least common multiple (LCM) of 459, 1512 is 25704.

LCM(459, 1512) = 25704

LCM of 459, 1512

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

LCM of:

Least Common Multiple of 459,1512

Least Common Multiple (LCM) of 459,1512 is 25704

3 459, 1512
3 153, 504
3 51, 168
17, 56

∴ So the LCM of the given numbers is 3 x 3 x 3 x 17 x 56 = 25704

Least Common Multiple of 459,1512 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 459,1512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,1512) = 27

common factors(in case of two or more numbers have common factors) = 1

GCF(459,1512) x common factors =27 x 1 = 27

LCM(459,1512) = ( 459 × 1512 ) / 27

LCM(459,1512) = 694008 / 27

LCM(459,1512) = 25704

∴ Least Common Multiple of 459,1512 is 25704

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 459, 1512

1. What is the LCM of 459, 1512?

Answer: LCM of 459, 1512 is 25704.

2. What are the Factors of 25704?

Answer: Factors of 25704 are . There are integers that are factors of 25704

3. How to Find the LCM of 459, 1512 ?

Least Common Multiple of 459, 1512.

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(459, 1512) = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 17 = 25704.