Least Common Multiple of 53/949, 5393/2938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/949, 5393/2938 quickly i.e. 285829/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/949, 5393/2938 is 285829/13.

LCM(53/949, 5393/2938) = 285829/13

LCM of 53/949, 5393/2938

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 53/949,5393/2938

Given numbers are 53/949,5393/2938

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 53,5393

Least Common Multiple of Numerators i.e. LCM of 53,5393 is 285829.

GCF of Denominators means GCF of 949,2938 as per the given fractions.

GCF of 949,2938 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,5393

LCM of Fractions 53/949,5393/2938 is 285829/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 285829

Least Common Multiple of 53,5393 with GCF Formula

Least Common Multiple of 53,5393 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 53,5393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,5393) = 1

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

GCF(53,5393) x common factors =1 x 1 = 1

LCM(53,5393) = ( 53 × 5393 ) / 1

LCM(53,5393) = 285829 / 1

LCM(53,5393) = 285829


Lets's calculate GCF of 949,2938

13 949, 2938
73, 226

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285829/13

Therefore the LCM of Fractions 53/949,5393/2938 is 285829/13

Greatest Common Factor of 949,2938 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,2938 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 2938

List of positive integer factors of 2938 that divides 2938 without a remainder.

1,2,13,26,113,226,1469,2938

Greatest Common Factor

We found the factors 949,2938 . The biggest common factor number is the GCF number.
So the greatest common factor 949,2938 is 13.


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 53/949, 5393/2938

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 53/949, 5393/2938?

Answer: LCM of Numerators as per given numbers 53/949, 5393/2938 is

LCM of Numerators i.e. for 53,5393 is 285829

GCF of denominators i.e. for 949,2938 is 13.

Thus, LCM of Fractions is 285829/13.Finally, LCM of Fractions for 53/949, 5393/2938 is 285829/13.