Least Common Multiple of 336/345, 715/547, 422/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 336/345, 715/547, 422/935 quickly i.e. 50690640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 336/345, 715/547, 422/935 is 50690640.

LCM(336/345, 715/547, 422/935) = 50690640

LCM of 336/345, 715/547, 422/935

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 336/345,715/547,422/935

Given numbers are 336/345,715/547,422/935

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 336,715,422

Least Common Multiple of Numerators i.e. LCM of 336,715,422 is 50690640.

GCF of Denominators means GCF of 345,547,935 as per the given fractions.

GCF of 345,547,935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 336,715,422

LCM of Fractions 336/345,715/547,422/935 is 50690640

2 336, 715, 422
168, 715, 211

∴ So the LCM of the given numbers is 2 x 168 x 715 x 211 = 50690640

Least Common Multiple of 336,715,422 with GCF Formula

Least Common Multiple of 336,715,422 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 336,715,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,715,422) = 1

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

GCF(336,715,422) x common factors =1 x 2 = 2

LCM(336,715,422) = ( 336 × 715 × 422 ) / 2

LCM(336,715,422) = 101381280 / 2

LCM(336,715,422) = 50690640


Lets's calculate GCF of 345,547,935

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50690640/1

Therefore the LCM of Fractions 336/345,715/547,422/935 is 50690640

Greatest Common Factor of 345,547,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,547,935 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 345,547,935 . The biggest common factor number is the GCF number.
So the greatest common factor 345,547,935 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 336/345, 715/547, 422/935

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 336/345, 715/547, 422/935?

Answer: LCM of Numerators as per given numbers 336/345, 715/547, 422/935 is

LCM of Numerators i.e. for 336,715,422 is 50690640

GCF of denominators i.e. for 345,547,935 is 1.

Thus, LCM of Fractions is 50690640.Finally, LCM of Fractions for 336/345, 715/547, 422/935 is 50690640.