Least Common Multiple of 5094/71, 9077/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5094/71, 9077/956 quickly i.e. 46238238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5094/71, 9077/956 is 46238238.

LCM(5094/71, 9077/956) = 46238238

LCM of 5094/71, 9077/956

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 5094/71,9077/956

Given numbers are 5094/71,9077/956

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 5094,9077

Least Common Multiple of Numerators i.e. LCM of 5094,9077 is 46238238.

GCF of Denominators means GCF of 71,956 as per the given fractions.

GCF of 71,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5094,9077

LCM of Fractions 5094/71,9077/956 is 46238238

Given numbers has no common factors except 1. So, there LCM is their product i.e 46238238

Least Common Multiple of 5094,9077 with GCF Formula

Least Common Multiple of 5094,9077 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 5094,9077 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5094,9077) = 1

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

GCF(5094,9077) x common factors =1 x 1 = 1

LCM(5094,9077) = ( 5094 × 9077 ) / 1

LCM(5094,9077) = 46238238 / 1

LCM(5094,9077) = 46238238


Lets's calculate GCF of 71,956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46238238/1

Therefore the LCM of Fractions 5094/71,9077/956 is 46238238

Greatest Common Factor of 71,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,956 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 71,956 . The biggest common factor number is the GCF number.
So the greatest common factor 71,956 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 5094/71, 9077/956

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 5094/71, 9077/956?

Answer: LCM of Numerators as per given numbers 5094/71, 9077/956 is

LCM of Numerators i.e. for 5094,9077 is 46238238

GCF of denominators i.e. for 71,956 is 1.

Thus, LCM of Fractions is 46238238.Finally, LCM of Fractions for 5094/71, 9077/956 is 46238238.