Least Common Multiple of 919/31, 613/5381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 919/31, 613/5381 quickly i.e. 563347 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 919/31, 613/5381 is 563347.

LCM(919/31, 613/5381) = 563347

LCM of 919/31, 613/5381

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 919/31,613/5381

Given numbers are 919/31,613/5381

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 919,613

Least Common Multiple of Numerators i.e. LCM of 919,613 is 563347.

GCF of Denominators means GCF of 31,5381 as per the given fractions.

GCF of 31,5381 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 919,613

LCM of Fractions 919/31,613/5381 is 563347

Given numbers has no common factors except 1. So, there LCM is their product i.e 563347

Least Common Multiple of 919,613 with GCF Formula

Least Common Multiple of 919,613 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 919,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,613) = 1

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

GCF(919,613) x common factors =1 x 1 = 1

LCM(919,613) = ( 919 × 613 ) / 1

LCM(919,613) = 563347 / 1

LCM(919,613) = 563347


Lets's calculate GCF of 31,5381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 563347/1

Therefore the LCM of Fractions 919/31,613/5381 is 563347

Greatest Common Factor of 31,5381 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,5381 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 5381

List of positive integer factors of 5381 that divides 5381 without a remainder.

1,5381

Greatest Common Factor

We found the factors 31,5381 . The biggest common factor number is the GCF number.
So the greatest common factor 31,5381 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 919/31, 613/5381

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 919/31, 613/5381?

Answer: LCM of Numerators as per given numbers 919/31, 613/5381 is

LCM of Numerators i.e. for 919,613 is 563347

GCF of denominators i.e. for 31,5381 is 1.

Thus, LCM of Fractions is 563347.Finally, LCM of Fractions for 919/31, 613/5381 is 563347.