Least Common Multiple of 5812/771, 5143/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5812/771, 5143/610 quickly i.e. 29891116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5812/771, 5143/610 is 29891116.

LCM(5812/771, 5143/610) = 29891116

LCM of 5812/771, 5143/610

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 5812/771,5143/610

Given numbers are 5812/771,5143/610

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 5812,5143

Least Common Multiple of Numerators i.e. LCM of 5812,5143 is 29891116.

GCF of Denominators means GCF of 771,610 as per the given fractions.

GCF of 771,610 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5812,5143

LCM of Fractions 5812/771,5143/610 is 29891116

Given numbers has no common factors except 1. So, there LCM is their product i.e 29891116

Least Common Multiple of 5812,5143 with GCF Formula

Least Common Multiple of 5812,5143 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 5812,5143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5812,5143) = 1

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

GCF(5812,5143) x common factors =1 x 1 = 1

LCM(5812,5143) = ( 5812 × 5143 ) / 1

LCM(5812,5143) = 29891116 / 1

LCM(5812,5143) = 29891116


Lets's calculate GCF of 771,610

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29891116/1

Therefore the LCM of Fractions 5812/771,5143/610 is 29891116

Greatest Common Factor of 771,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,610 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 771,610 . The biggest common factor number is the GCF number.
So the greatest common factor 771,610 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5812/771, 5143/610

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 5812/771, 5143/610?

Answer: LCM of Numerators as per given numbers 5812/771, 5143/610 is

LCM of Numerators i.e. for 5812,5143 is 29891116

GCF of denominators i.e. for 771,610 is 1.

Thus, LCM of Fractions is 29891116.Finally, LCM of Fractions for 5812/771, 5143/610 is 29891116.