Least Common Multiple of 5143/97, 6376/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5143/97, 6376/962 quickly i.e. 32791768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5143/97, 6376/962 is 32791768.

LCM(5143/97, 6376/962) = 32791768

LCM of 5143/97, 6376/962

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 5143/97,6376/962

Given numbers are 5143/97,6376/962

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 5143,6376

Least Common Multiple of Numerators i.e. LCM of 5143,6376 is 32791768.

GCF of Denominators means GCF of 97,962 as per the given fractions.

GCF of 97,962 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5143,6376

LCM of Fractions 5143/97,6376/962 is 32791768

Given numbers has no common factors except 1. So, there LCM is their product i.e 32791768

Least Common Multiple of 5143,6376 with GCF Formula

Least Common Multiple of 5143,6376 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 5143,6376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5143,6376) = 1

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

GCF(5143,6376) x common factors =1 x 1 = 1

LCM(5143,6376) = ( 5143 × 6376 ) / 1

LCM(5143,6376) = 32791768 / 1

LCM(5143,6376) = 32791768


Lets's calculate GCF of 97,962

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32791768/1

Therefore the LCM of Fractions 5143/97,6376/962 is 32791768

Greatest Common Factor of 97,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,962 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 97,962 . The biggest common factor number is the GCF number.
So the greatest common factor 97,962 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5143/97, 6376/962

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 5143/97, 6376/962?

Answer: LCM of Numerators as per given numbers 5143/97, 6376/962 is

LCM of Numerators i.e. for 5143,6376 is 32791768

GCF of denominators i.e. for 97,962 is 1.

Thus, LCM of Fractions is 32791768.Finally, LCM of Fractions for 5143/97, 6376/962 is 32791768.