Least Common Multiple of 98/537, 90/605, 961/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/537, 90/605, 961/769 quickly i.e. 4238010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/537, 90/605, 961/769 is 4238010.

LCM(98/537, 90/605, 961/769) = 4238010

LCM of 98/537, 90/605, 961/769

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 98/537,90/605,961/769

Given numbers are 98/537,90/605,961/769

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 98,90,961

Least Common Multiple of Numerators i.e. LCM of 98,90,961 is 4238010.

GCF of Denominators means GCF of 537,605,769 as per the given fractions.

GCF of 537,605,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,90,961

LCM of Fractions 98/537,90/605,961/769 is 4238010

2 98, 90, 961
49, 45, 961

∴ So the LCM of the given numbers is 2 x 49 x 45 x 961 = 4238010

Least Common Multiple of 98,90,961 with GCF Formula

Least Common Multiple of 98,90,961 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 98,90,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,90,961) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(98,90,961) x common factors =1 x 2 = 2

LCM(98,90,961) = ( 98 × 90 × 961 ) / 2

LCM(98,90,961) = 8476020 / 2

LCM(98,90,961) = 4238010


Lets's calculate GCF of 537,605,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4238010/1

Therefore the LCM of Fractions 98/537,90/605,961/769 is 4238010

Greatest Common Factor of 537,605,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,605,769 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 537,605,769 . The biggest common factor number is the GCF number.
So the greatest common factor 537,605,769 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 98/537, 90/605, 961/769

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 98/537, 90/605, 961/769?

Answer: LCM of Numerators as per given numbers 98/537, 90/605, 961/769 is

LCM of Numerators i.e. for 98,90,961 is 4238010

GCF of denominators i.e. for 537,605,769 is 1.

Thus, LCM of Fractions is 4238010.Finally, LCM of Fractions for 98/537, 90/605, 961/769 is 4238010.