Least Common Multiple of 5456/718, 7756/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5456/718, 7756/918 quickly i.e. 5289592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5456/718, 7756/918 is 5289592.

LCM(5456/718, 7756/918) = 5289592

LCM of 5456/718, 7756/918

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 5456/718,7756/918

Given numbers are 5456/718,7756/918

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 5456,7756

Least Common Multiple of Numerators i.e. LCM of 5456,7756 is 10579184.

GCF of Denominators means GCF of 718,918 as per the given fractions.

GCF of 718,918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5456,7756

LCM of Fractions 5456/718,7756/918 is 5289592

2 5456, 7756
2 2728, 3878
1364, 1939

∴ So the LCM of the given numbers is 2 x 2 x 1364 x 1939 = 10579184

Least Common Multiple of 5456,7756 with GCF Formula

Least Common Multiple of 5456,7756 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 5456,7756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5456,7756) = 4

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

GCF(5456,7756) x common factors =4 x 1 = 4

LCM(5456,7756) = ( 5456 × 7756 ) / 4

LCM(5456,7756) = 42316736 / 4

LCM(5456,7756) = 10579184


Lets's calculate GCF of 718,918

2 718, 918
359, 459

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10579184/2

Therefore the LCM of Fractions 5456/718,7756/918 is 5289592

Greatest Common Factor of 718,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,918 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 718,918 . The biggest common factor number is the GCF number.
So the greatest common factor 718,918 is 2.


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 5456/718, 7756/918

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 5456/718, 7756/918?

Answer: LCM of Numerators as per given numbers 5456/718, 7756/918 is

LCM of Numerators i.e. for 5456,7756 is 10579184

GCF of denominators i.e. for 718,918 is 2.

Thus, LCM of Fractions is 5289592.Finally, LCM of Fractions for 5456/718, 7756/918 is 5289592.