Least Common Multiple of 4975/981, 1352/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4975/981, 1352/285 quickly i.e. 6726200/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4975/981, 1352/285 is 6726200/3.

LCM(4975/981, 1352/285) = 6726200/3

LCM of 4975/981, 1352/285

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 4975/981,1352/285

Given numbers are 4975/981,1352/285

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 4975,1352

Least Common Multiple of Numerators i.e. LCM of 4975,1352 is 6726200.

GCF of Denominators means GCF of 981,285 as per the given fractions.

GCF of 981,285 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4975,1352

LCM of Fractions 4975/981,1352/285 is 6726200/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 6726200

Least Common Multiple of 4975,1352 with GCF Formula

Least Common Multiple of 4975,1352 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 4975,1352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4975,1352) = 1

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

GCF(4975,1352) x common factors =1 x 1 = 1

LCM(4975,1352) = ( 4975 × 1352 ) / 1

LCM(4975,1352) = 6726200 / 1

LCM(4975,1352) = 6726200


Lets's calculate GCF of 981,285

3 981, 285
327, 95

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6726200/3

Therefore the LCM of Fractions 4975/981,1352/285 is 6726200/3

Greatest Common Factor of 981,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,285 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 981,285 . The biggest common factor number is the GCF number.
So the greatest common factor 981,285 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4975/981, 1352/285

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 4975/981, 1352/285?

Answer: LCM of Numerators as per given numbers 4975/981, 1352/285 is

LCM of Numerators i.e. for 4975,1352 is 6726200

GCF of denominators i.e. for 981,285 is 3.

Thus, LCM of Fractions is 6726200/3.Finally, LCM of Fractions for 4975/981, 1352/285 is 6726200/3.