Least Common Multiple of 966, 714, 69

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, 714, 69 i.e. 16422 smallest integer divisible by all numbers.

Least common multiple (LCM) of 966, 714, 69 is 16422.

LCM(966, 714, 69) = 16422

LCM of 966, 714, 69

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

LCM of:

Least Common Multiple of 966,714,69

Least Common Multiple (LCM) of 966,714,69 is 16422

2 966, 714, 69
3 483, 357, 69
7 161, 119, 23
23 23, 17, 23
1, 17, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 23 x 1 x 17 x 1 = 16422

Least Common Multiple of 966,714,69 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 966,714,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,714,69) = 3

common factors(in case of two or more numbers have common factors) = 966

GCF(966,714,69) x common factors =3 x 966 = 2898

LCM(966,714,69) = ( 966 × 714 × 69 ) / 2898

LCM(966,714,69) = 47590956 / 2898

LCM(966,714,69) = 16422

∴ Least Common Multiple of 966,714,69 is 16422

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 966, 714, 69

1. What is the LCM of 966, 714, 69?

Answer: LCM of 966, 714, 69 is 16422.

2. What are the Factors of 16422?

Answer: Factors of 16422 are . There are integers that are factors of 16422

3. How to Find the LCM of 966, 714, 69 ?

Least Common Multiple of 966, 714, 69.

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, 714, 69) = 2 x 3 x 7 x 17 x 23 = 16422.