Least Common Multiple of 689, 364

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 689, 364 i.e. 19292 smallest integer divisible by all numbers.

Least common multiple (LCM) of 689, 364 is 19292.

LCM(689, 364) = 19292

LCM of 689, 364

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

LCM of:

Least Common Multiple of 689,364

Least Common Multiple (LCM) of 689,364 is 19292

13 689, 364
53, 28

∴ So the LCM of the given numbers is 13 x 53 x 28 = 19292

Least Common Multiple of 689,364 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 689,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,364) = 13

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

GCF(689,364) x common factors =13 x 1 = 13

LCM(689,364) = ( 689 × 364 ) / 13

LCM(689,364) = 250796 / 13

LCM(689,364) = 19292

∴ Least Common Multiple of 689,364 is 19292

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 689, 364

1. What is the LCM of 689, 364?

Answer: LCM of 689, 364 is 19292.

2. What are the Factors of 19292?

Answer: Factors of 19292 are . There are integers that are factors of 19292

3. How to Find the LCM of 689, 364 ?

Least Common Multiple of 689, 364.

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(689, 364) = 2 x 2 x 7 x 13 x 53 = 19292.