Least Common Multiple of 65, 690, 460

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 65, 690, 460 i.e. 17940 smallest integer divisible by all numbers.

Least common multiple (LCM) of 65, 690, 460 is 17940.

LCM(65, 690, 460) = 17940

LCM of 65, 690, 460

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

LCM of:

Least Common Multiple of 65,690,460

Least Common Multiple (LCM) of 65,690,460 is 17940

2 65, 690, 460
5 65, 345, 230
23 13, 69, 46
13, 3, 2

∴ So the LCM of the given numbers is 2 x 5 x 23 x 13 x 3 x 2 = 17940

Least Common Multiple of 65,690,460 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 65,690,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,690,460) = 5

common factors(in case of two or more numbers have common factors) = 230

GCF(65,690,460) x common factors =5 x 230 = 1150

LCM(65,690,460) = ( 65 × 690 × 460 ) / 1150

LCM(65,690,460) = 20631000 / 1150

LCM(65,690,460) = 17940

∴ Least Common Multiple of 65,690,460 is 17940

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 65, 690, 460

1. What is the LCM of 65, 690, 460?

Answer: LCM of 65, 690, 460 is 17940.

2. What are the Factors of 17940?

Answer: Factors of 17940 are . There are integers that are factors of 17940

3. How to Find the LCM of 65, 690, 460 ?

Least Common Multiple of 65, 690, 460.

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(65, 690, 460) = 2 x 2 x 3 x 5 x 13 x 23 = 17940.