Least Common Multiple of 469, 460, 341

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 469, 460, 341 i.e. 73567340 smallest integer divisible by all numbers.

Least common multiple (LCM) of 469, 460, 341 is 73567340.

LCM(469, 460, 341) = 73567340

LCM of 469, 460, 341

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

LCM of:

Least Common Multiple of 469,460,341

Least Common Multiple (LCM) of 469,460,341 is 73567340

Given numbers has no common factors except 1. So, there LCM is their product i.e 73567340

Least Common Multiple of 469,460,341 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 469,460,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,460,341) = 1

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

GCF(469,460,341) x common factors =1 x 1 = 1

LCM(469,460,341) = ( 469 × 460 × 341 ) / 1

LCM(469,460,341) = 73567340 / 1

LCM(469,460,341) = 73567340

∴ Least Common Multiple of 469,460,341 is 73567340

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 469, 460, 341

1. What is the LCM of 469, 460, 341?

Answer: LCM of 469, 460, 341 is 73567340.

2. What are the Factors of 73567340?

Answer: Factors of 73567340 are . There are integers that are factors of 73567340

3. How to Find the LCM of 469, 460, 341 ?

Least Common Multiple of 469, 460, 341.

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(469, 460, 341) = 2 x 2 x 5 x 7 x 11 x 23 x 31 x 67 = 73567340.