Least Common Multiple of 75/98, 89/772, 761/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/98, 89/772, 761/281 quickly i.e. 5079675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/98, 89/772, 761/281 is 5079675.

LCM(75/98, 89/772, 761/281) = 5079675

LCM of 75/98, 89/772, 761/281

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 75/98,89/772,761/281

Given numbers are 75/98,89/772,761/281

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 75,89,761

Least Common Multiple of Numerators i.e. LCM of 75,89,761 is 5079675.

GCF of Denominators means GCF of 98,772,281 as per the given fractions.

GCF of 98,772,281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,89,761

LCM of Fractions 75/98,89/772,761/281 is 5079675

Given numbers has no common factors except 1. So, there LCM is their product i.e 5079675

Least Common Multiple of 75,89,761 with GCF Formula

Least Common Multiple of 75,89,761 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 75,89,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,89,761) = 1

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

GCF(75,89,761) x common factors =1 x 1 = 1

LCM(75,89,761) = ( 75 × 89 × 761 ) / 1

LCM(75,89,761) = 5079675 / 1

LCM(75,89,761) = 5079675


Lets's calculate GCF of 98,772,281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5079675/1

Therefore the LCM of Fractions 75/98,89/772,761/281 is 5079675

Greatest Common Factor of 98,772,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,772,281 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 98,772,281 . The biggest common factor number is the GCF number.
So the greatest common factor 98,772,281 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 75/98, 89/772, 761/281

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 75/98, 89/772, 761/281?

Answer: LCM of Numerators as per given numbers 75/98, 89/772, 761/281 is

LCM of Numerators i.e. for 75,89,761 is 5079675

GCF of denominators i.e. for 98,772,281 is 1.

Thus, LCM of Fractions is 5079675.Finally, LCM of Fractions for 75/98, 89/772, 761/281 is 5079675.