Least Common Multiple of 758/868, 6556/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 758/868, 6556/496 quickly i.e. 2484724/124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 758/868, 6556/496 is 2484724/124.

LCM(758/868, 6556/496) = 2484724/124

LCM of 758/868, 6556/496

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 758/868,6556/496

Given numbers are 758/868,6556/496

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 758,6556

Least Common Multiple of Numerators i.e. LCM of 758,6556 is 2484724.

GCF of Denominators means GCF of 868,496 as per the given fractions.

GCF of 868,496 is 124 as it is the largest common factor for these numbers.

Lets's calculate LCM of 758,6556

LCM of Fractions 758/868,6556/496 is 2484724/124

2 758, 6556
379, 3278

∴ So the LCM of the given numbers is 2 x 379 x 3278 = 2484724

Least Common Multiple of 758,6556 with GCF Formula

Least Common Multiple of 758,6556 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 758,6556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,6556) = 2

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

GCF(758,6556) x common factors =2 x 1 = 2

LCM(758,6556) = ( 758 × 6556 ) / 2

LCM(758,6556) = 4969448 / 2

LCM(758,6556) = 2484724


Lets's calculate GCF of 868,496

2 868, 496
2 434, 248
31 217, 124
7, 4

∴ So the GCF of the given numbers is 2 x 2 x 31 = 124

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2484724/124

Therefore the LCM of Fractions 758/868,6556/496 is 2484724/124

Greatest Common Factor of 868,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,496 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 868,496 . The biggest common factor number is the GCF number.
So the greatest common factor 868,496 is 124.


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 758/868, 6556/496

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 758/868, 6556/496?

Answer: LCM of Numerators as per given numbers 758/868, 6556/496 is

LCM of Numerators i.e. for 758,6556 is 2484724

GCF of denominators i.e. for 868,496 is 124.

Thus, LCM of Fractions is 2484724/124.Finally, LCM of Fractions for 758/868, 6556/496 is 2484724/124.