Least Common Multiple of 966, 564, 759

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 966, 564, 759 i.e. 998844 smallest integer divisible by all numbers.

Least common multiple (LCM) of 966, 564, 759 is 998844.

LCM(966, 564, 759) = 998844

LCM of 966, 564, 759

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

LCM of:

Least Common Multiple of 966,564,759

Least Common Multiple (LCM) of 966,564,759 is 998844

2 966, 564, 759
3 483, 282, 759
23 161, 94, 253
7, 94, 11

∴ So the LCM of the given numbers is 2 x 3 x 23 x 7 x 94 x 11 = 998844

Least Common Multiple of 966,564,759 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 966,564,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,564,759) = 3

common factors(in case of two or more numbers have common factors) = 138

GCF(966,564,759) x common factors =3 x 138 = 414

LCM(966,564,759) = ( 966 × 564 × 759 ) / 414

LCM(966,564,759) = 413521416 / 414

LCM(966,564,759) = 998844

∴ Least Common Multiple of 966,564,759 is 998844

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 966, 564, 759

1. What is the LCM of 966, 564, 759?

Answer: LCM of 966, 564, 759 is 998844.

2. What are the Factors of 998844?

Answer: Factors of 998844 are . There are integers that are factors of 998844

3. How to Find the LCM of 966, 564, 759 ?

Least Common Multiple of 966, 564, 759.

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(966, 564, 759) = 2 x 2 x 3 x 7 x 11 x 23 x 47 = 998844.