Least Common Multiple of 789, 1896

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 789, 1896 i.e. 498648 smallest integer divisible by all numbers.

Least common multiple (LCM) of 789, 1896 is 498648.

LCM(789, 1896) = 498648

LCM of 789, 1896

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

LCM of:

Least Common Multiple of 789,1896

Least Common Multiple (LCM) of 789,1896 is 498648

3 789, 1896
263, 632

∴ So the LCM of the given numbers is 3 x 263 x 632 = 498648

Least Common Multiple of 789,1896 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 789,1896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,1896) = 3

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

GCF(789,1896) x common factors =3 x 1 = 3

LCM(789,1896) = ( 789 × 1896 ) / 3

LCM(789,1896) = 1495944 / 3

LCM(789,1896) = 498648

∴ Least Common Multiple of 789,1896 is 498648

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 789, 1896

1. What is the LCM of 789, 1896?

Answer: LCM of 789, 1896 is 498648.

2. What are the Factors of 498648?

Answer: Factors of 498648 are . There are integers that are factors of 498648

3. How to Find the LCM of 789, 1896 ?

Least Common Multiple of 789, 1896.

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(789, 1896) = 2 x 2 x 2 x 3 x 79 x 263 = 498648.