Least Common Multiple of 5968/381, 8696/5155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5968/381, 8696/5155 quickly i.e. 6487216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5968/381, 8696/5155 is 6487216.

LCM(5968/381, 8696/5155) = 6487216

LCM of 5968/381, 8696/5155

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 5968/381,8696/5155

Given numbers are 5968/381,8696/5155

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 5968,8696

Least Common Multiple of Numerators i.e. LCM of 5968,8696 is 6487216.

GCF of Denominators means GCF of 381,5155 as per the given fractions.

GCF of 381,5155 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5968,8696

LCM of Fractions 5968/381,8696/5155 is 6487216

2 5968, 8696
2 2984, 4348
2 1492, 2174
746, 1087

∴ So the LCM of the given numbers is 2 x 2 x 2 x 746 x 1087 = 6487216

Least Common Multiple of 5968,8696 with GCF Formula

Least Common Multiple of 5968,8696 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 5968,8696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5968,8696) = 8

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

GCF(5968,8696) x common factors =8 x 1 = 8

LCM(5968,8696) = ( 5968 × 8696 ) / 8

LCM(5968,8696) = 51897728 / 8

LCM(5968,8696) = 6487216


Lets's calculate GCF of 381,5155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6487216/1

Therefore the LCM of Fractions 5968/381,8696/5155 is 6487216

Greatest Common Factor of 381,5155 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,5155 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 5155

List of positive integer factors of 5155 that divides 5155 without a remainder.

1,5,1031,5155

Greatest Common Factor

We found the factors 381,5155 . The biggest common factor number is the GCF number.
So the greatest common factor 381,5155 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 5968/381, 8696/5155

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 5968/381, 8696/5155?

Answer: LCM of Numerators as per given numbers 5968/381, 8696/5155 is

LCM of Numerators i.e. for 5968,8696 is 6487216

GCF of denominators i.e. for 381,5155 is 1.

Thus, LCM of Fractions is 6487216.Finally, LCM of Fractions for 5968/381, 8696/5155 is 6487216.