Least Common Multiple of 274/46, 844/6340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 274/46, 844/6340 quickly i.e. 57814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 274/46, 844/6340 is 57814.

LCM(274/46, 844/6340) = 57814

LCM of 274/46, 844/6340

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 274/46,844/6340

Given numbers are 274/46,844/6340

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 274,844

Least Common Multiple of Numerators i.e. LCM of 274,844 is 115628.

GCF of Denominators means GCF of 46,6340 as per the given fractions.

GCF of 46,6340 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 274,844

LCM of Fractions 274/46,844/6340 is 57814

2 274, 844
137, 422

∴ So the LCM of the given numbers is 2 x 137 x 422 = 115628

Least Common Multiple of 274,844 with GCF Formula

Least Common Multiple of 274,844 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 274,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,844) = 2

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

GCF(274,844) x common factors =2 x 1 = 2

LCM(274,844) = ( 274 × 844 ) / 2

LCM(274,844) = 231256 / 2

LCM(274,844) = 115628


Lets's calculate GCF of 46,6340

2 46, 6340
23, 3170

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115628/2

Therefore the LCM of Fractions 274/46,844/6340 is 57814

Greatest Common Factor of 46,6340 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,6340 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 6340

List of positive integer factors of 6340 that divides 6340 without a remainder.

1,2,4,5,10,20,317,634,1268,1585,3170,6340

Greatest Common Factor

We found the factors 46,6340 . The biggest common factor number is the GCF number.
So the greatest common factor 46,6340 is 2.


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Frequently Asked Questions on Fractional LCM of 274/46, 844/6340

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 274/46, 844/6340?

Answer: LCM of Numerators as per given numbers 274/46, 844/6340 is

LCM of Numerators i.e. for 274,844 is 115628

GCF of denominators i.e. for 46,6340 is 2.

Thus, LCM of Fractions is 57814.Finally, LCM of Fractions for 274/46, 844/6340 is 57814.