Least Common Multiple of 98/595, 2157/7427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/595, 2157/7427 quickly i.e. 30198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/595, 2157/7427 is 30198.

LCM(98/595, 2157/7427) = 30198

LCM of 98/595, 2157/7427

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 98/595,2157/7427

Given numbers are 98/595,2157/7427

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 98,2157

Least Common Multiple of Numerators i.e. LCM of 98,2157 is 211386.

GCF of Denominators means GCF of 595,7427 as per the given fractions.

GCF of 595,7427 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,2157

LCM of Fractions 98/595,2157/7427 is 30198

Given numbers has no common factors except 1. So, there LCM is their product i.e 211386

Least Common Multiple of 98,2157 with GCF Formula

Least Common Multiple of 98,2157 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 98,2157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,2157) = 1

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

GCF(98,2157) x common factors =1 x 1 = 1

LCM(98,2157) = ( 98 × 2157 ) / 1

LCM(98,2157) = 211386 / 1

LCM(98,2157) = 211386


Lets's calculate GCF of 595,7427

7 595, 7427
85, 1061

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211386/7

Therefore the LCM of Fractions 98/595,2157/7427 is 30198

Greatest Common Factor of 595,7427 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,7427 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 7427

List of positive integer factors of 7427 that divides 7427 without a remainder.

1,7,1061,7427

Greatest Common Factor

We found the factors 595,7427 . The biggest common factor number is the GCF number.
So the greatest common factor 595,7427 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/595, 2157/7427

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 98/595, 2157/7427?

Answer: LCM of Numerators as per given numbers 98/595, 2157/7427 is

LCM of Numerators i.e. for 98,2157 is 211386

GCF of denominators i.e. for 595,7427 is 7.

Thus, LCM of Fractions is 30198.Finally, LCM of Fractions for 98/595, 2157/7427 is 30198.