Least Common Multiple of 344/91, 508/58, 314/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/91, 508/58, 314/441 quickly i.e. 6859016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/91, 508/58, 314/441 is 6859016.

LCM(344/91, 508/58, 314/441) = 6859016

LCM of 344/91, 508/58, 314/441

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 344/91,508/58,314/441

Given numbers are 344/91,508/58,314/441

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 344,508,314

Least Common Multiple of Numerators i.e. LCM of 344,508,314 is 6859016.

GCF of Denominators means GCF of 91,58,441 as per the given fractions.

GCF of 91,58,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,508,314

LCM of Fractions 344/91,508/58,314/441 is 6859016

2 344, 508, 314
2 172, 254, 157
86, 127, 157

∴ So the LCM of the given numbers is 2 x 2 x 86 x 127 x 157 = 6859016

Least Common Multiple of 344,508,314 with GCF Formula

Least Common Multiple of 344,508,314 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 344,508,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,508,314) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(344,508,314) x common factors =2 x 4 = 8

LCM(344,508,314) = ( 344 × 508 × 314 ) / 8

LCM(344,508,314) = 54872128 / 8

LCM(344,508,314) = 6859016


Lets's calculate GCF of 91,58,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6859016/1

Therefore the LCM of Fractions 344/91,508/58,314/441 is 6859016

Greatest Common Factor of 91,58,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,58,441 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 91,58,441 . The biggest common factor number is the GCF number.
So the greatest common factor 91,58,441 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 344/91, 508/58, 314/441

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 344/91, 508/58, 314/441?

Answer: LCM of Numerators as per given numbers 344/91, 508/58, 314/441 is

LCM of Numerators i.e. for 344,508,314 is 6859016

GCF of denominators i.e. for 91,58,441 is 1.

Thus, LCM of Fractions is 6859016.Finally, LCM of Fractions for 344/91, 508/58, 314/441 is 6859016.