Least Common Multiple of 344, 323, 614

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 344, 323, 614 i.e. 34111384 smallest integer divisible by all numbers.

Least common multiple (LCM) of 344, 323, 614 is 34111384.

LCM(344, 323, 614) = 34111384

LCM of 344, 323, 614

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

LCM of:

Least Common Multiple of 344,323,614

Least Common Multiple (LCM) of 344,323,614 is 34111384

2 344, 323, 614
172, 323, 307

∴ So the LCM of the given numbers is 2 x 172 x 323 x 307 = 34111384

Least Common Multiple of 344,323,614 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 344,323,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,323,614) = 1

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

GCF(344,323,614) x common factors =1 x 2 = 2

LCM(344,323,614) = ( 344 × 323 × 614 ) / 2

LCM(344,323,614) = 68222768 / 2

LCM(344,323,614) = 34111384

∴ Least Common Multiple of 344,323,614 is 34111384

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 344, 323, 614

1. What is the LCM of 344, 323, 614?

Answer: LCM of 344, 323, 614 is 34111384.

2. What are the Factors of 34111384?

Answer: Factors of 34111384 are . There are integers that are factors of 34111384

3. How to Find the LCM of 344, 323, 614 ?

Least Common Multiple of 344, 323, 614.

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(344, 323, 614) = 2 x 2 x 2 x 17 x 19 x 43 x 307 = 34111384.