Least Common Multiple of 5294/41, 2834/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5294/41, 2834/348 quickly i.e. 7501598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5294/41, 2834/348 is 7501598.

LCM(5294/41, 2834/348) = 7501598

LCM of 5294/41, 2834/348

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 5294/41,2834/348

Given numbers are 5294/41,2834/348

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 5294,2834

Least Common Multiple of Numerators i.e. LCM of 5294,2834 is 7501598.

GCF of Denominators means GCF of 41,348 as per the given fractions.

GCF of 41,348 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5294,2834

LCM of Fractions 5294/41,2834/348 is 7501598

2 5294, 2834
2647, 1417

∴ So the LCM of the given numbers is 2 x 2647 x 1417 = 7501598

Least Common Multiple of 5294,2834 with GCF Formula

Least Common Multiple of 5294,2834 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 5294,2834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5294,2834) = 2

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

GCF(5294,2834) x common factors =2 x 1 = 2

LCM(5294,2834) = ( 5294 × 2834 ) / 2

LCM(5294,2834) = 15003196 / 2

LCM(5294,2834) = 7501598


Lets's calculate GCF of 41,348

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7501598/1

Therefore the LCM of Fractions 5294/41,2834/348 is 7501598

Greatest Common Factor of 41,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,348 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 41,348 . The biggest common factor number is the GCF number.
So the greatest common factor 41,348 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5294/41, 2834/348

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 5294/41, 2834/348?

Answer: LCM of Numerators as per given numbers 5294/41, 2834/348 is

LCM of Numerators i.e. for 5294,2834 is 7501598

GCF of denominators i.e. for 41,348 is 1.

Thus, LCM of Fractions is 7501598.Finally, LCM of Fractions for 5294/41, 2834/348 is 7501598.