Least Common Multiple of 2977/84, 2981/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2977/84, 2981/873 quickly i.e. 8874437/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2977/84, 2981/873 is 8874437/3.

LCM(2977/84, 2981/873) = 8874437/3

LCM of 2977/84, 2981/873

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 2977/84,2981/873

Given numbers are 2977/84,2981/873

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 2977,2981

Least Common Multiple of Numerators i.e. LCM of 2977,2981 is 8874437.

GCF of Denominators means GCF of 84,873 as per the given fractions.

GCF of 84,873 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2977,2981

LCM of Fractions 2977/84,2981/873 is 8874437/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 8874437

Least Common Multiple of 2977,2981 with GCF Formula

Least Common Multiple of 2977,2981 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 2977,2981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2977,2981) = 1

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

GCF(2977,2981) x common factors =1 x 1 = 1

LCM(2977,2981) = ( 2977 × 2981 ) / 1

LCM(2977,2981) = 8874437 / 1

LCM(2977,2981) = 8874437


Lets's calculate GCF of 84,873

3 84, 873
28, 291

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8874437/3

Therefore the LCM of Fractions 2977/84,2981/873 is 8874437/3

Greatest Common Factor of 84,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,873 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 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 84,873 . The biggest common factor number is the GCF number.
So the greatest common factor 84,873 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2977/84, 2981/873

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 2977/84, 2981/873?

Answer: LCM of Numerators as per given numbers 2977/84, 2981/873 is

LCM of Numerators i.e. for 2977,2981 is 8874437

GCF of denominators i.e. for 84,873 is 3.

Thus, LCM of Fractions is 8874437/3.Finally, LCM of Fractions for 2977/84, 2981/873 is 8874437/3.