Least Common Multiple of 8956/488, 1138/2711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8956/488, 1138/2711 quickly i.e. 5095964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8956/488, 1138/2711 is 5095964.

LCM(8956/488, 1138/2711) = 5095964

LCM of 8956/488, 1138/2711

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 8956/488,1138/2711

Given numbers are 8956/488,1138/2711

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 8956,1138

Least Common Multiple of Numerators i.e. LCM of 8956,1138 is 5095964.

GCF of Denominators means GCF of 488,2711 as per the given fractions.

GCF of 488,2711 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8956,1138

LCM of Fractions 8956/488,1138/2711 is 5095964

2 8956, 1138
4478, 569

∴ So the LCM of the given numbers is 2 x 4478 x 569 = 5095964

Least Common Multiple of 8956,1138 with GCF Formula

Least Common Multiple of 8956,1138 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 8956,1138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8956,1138) = 2

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

GCF(8956,1138) x common factors =2 x 1 = 2

LCM(8956,1138) = ( 8956 × 1138 ) / 2

LCM(8956,1138) = 10191928 / 2

LCM(8956,1138) = 5095964


Lets's calculate GCF of 488,2711

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5095964/1

Therefore the LCM of Fractions 8956/488,1138/2711 is 5095964

Greatest Common Factor of 488,2711 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,2711 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 2711

List of positive integer factors of 2711 that divides 2711 without a remainder.

1,2711

Greatest Common Factor

We found the factors 488,2711 . The biggest common factor number is the GCF number.
So the greatest common factor 488,2711 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 8956/488, 1138/2711

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 8956/488, 1138/2711?

Answer: LCM of Numerators as per given numbers 8956/488, 1138/2711 is

LCM of Numerators i.e. for 8956,1138 is 5095964

GCF of denominators i.e. for 488,2711 is 1.

Thus, LCM of Fractions is 5095964.Finally, LCM of Fractions for 8956/488, 1138/2711 is 5095964.