Least Common Multiple of 758/84, 5113/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 758/84, 5113/868 quickly i.e. 3875654/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 758/84, 5113/868 is 3875654/28.

LCM(758/84, 5113/868) = 3875654/28

LCM of 758/84, 5113/868

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 758/84,5113/868

Given numbers are 758/84,5113/868

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 758,5113

Least Common Multiple of Numerators i.e. LCM of 758,5113 is 3875654.

GCF of Denominators means GCF of 84,868 as per the given fractions.

GCF of 84,868 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 758,5113

LCM of Fractions 758/84,5113/868 is 3875654/28

Given numbers has no common factors except 1. So, there LCM is their product i.e 3875654

Least Common Multiple of 758,5113 with GCF Formula

Least Common Multiple of 758,5113 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 758,5113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,5113) = 1

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

GCF(758,5113) x common factors =1 x 1 = 1

LCM(758,5113) = ( 758 × 5113 ) / 1

LCM(758,5113) = 3875654 / 1

LCM(758,5113) = 3875654


Lets's calculate GCF of 84,868

2 84, 868
2 42, 434
7 21, 217
3, 31

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3875654/28

Therefore the LCM of Fractions 758/84,5113/868 is 3875654/28

Greatest Common Factor of 84,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,868 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

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

Greatest Common Factor

We found the factors 84,868 . The biggest common factor number is the GCF number.
So the greatest common factor 84,868 is 28.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 758/84, 5113/868

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 758/84, 5113/868?

Answer: LCM of Numerators as per given numbers 758/84, 5113/868 is

LCM of Numerators i.e. for 758,5113 is 3875654

GCF of denominators i.e. for 84,868 is 28.

Thus, LCM of Fractions is 3875654/28.Finally, LCM of Fractions for 758/84, 5113/868 is 3875654/28.