Least Common Multiple of 966, 323, 289

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, 323, 289 i.e. 5304306 smallest integer divisible by all numbers.

Least common multiple (LCM) of 966, 323, 289 is 5304306.

LCM(966, 323, 289) = 5304306

LCM of 966, 323, 289

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

LCM of:

Least Common Multiple of 966,323,289

Least Common Multiple (LCM) of 966,323,289 is 5304306

17 966, 323, 289
966, 19, 17

∴ So the LCM of the given numbers is 17 x 966 x 19 x 17 = 5304306

Least Common Multiple of 966,323,289 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 966,323,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,323,289) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(966,323,289) x common factors =1 x 17 = 17

LCM(966,323,289) = ( 966 × 323 × 289 ) / 17

LCM(966,323,289) = 90173202 / 17

LCM(966,323,289) = 5304306

∴ Least Common Multiple of 966,323,289 is 5304306

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 966, 323, 289

1. What is the LCM of 966, 323, 289?

Answer: LCM of 966, 323, 289 is 5304306.

2. What are the Factors of 5304306?

Answer: Factors of 5304306 are . There are integers that are factors of 5304306

3. How to Find the LCM of 966, 323, 289 ?

Least Common Multiple of 966, 323, 289.

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, 323, 289) = 2 x 3 x 7 x 17 x 17 x 19 x 23 = 5304306.