Least Common Multiple of 467, 338, 382

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 467, 338, 382 i.e. 30148586 smallest integer divisible by all numbers.

Least common multiple (LCM) of 467, 338, 382 is 30148586.

LCM(467, 338, 382) = 30148586

LCM of 467, 338, 382

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

LCM of:

Least Common Multiple of 467,338,382

Least Common Multiple (LCM) of 467,338,382 is 30148586

2 467, 338, 382
467, 169, 191

∴ So the LCM of the given numbers is 2 x 467 x 169 x 191 = 30148586

Least Common Multiple of 467,338,382 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 467,338,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,338,382) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(467,338,382) x common factors =1 x 2 = 2

LCM(467,338,382) = ( 467 × 338 × 382 ) / 2

LCM(467,338,382) = 60297172 / 2

LCM(467,338,382) = 30148586

∴ Least Common Multiple of 467,338,382 is 30148586

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 467, 338, 382

1. What is the LCM of 467, 338, 382?

Answer: LCM of 467, 338, 382 is 30148586.

2. What are the Factors of 30148586?

Answer: Factors of 30148586 are . There are integers that are factors of 30148586

3. How to Find the LCM of 467, 338, 382 ?

Least Common Multiple of 467, 338, 382.

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(467, 338, 382) = 2 x 13 x 13 x 191 x 467 = 30148586.