Least Common Multiple of 261/98, 535/6587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 261/98, 535/6587 quickly i.e. 139635/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 261/98, 535/6587 is 139635/7.

LCM(261/98, 535/6587) = 139635/7

LCM of 261/98, 535/6587

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 261/98,535/6587

Given numbers are 261/98,535/6587

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 261,535

Least Common Multiple of Numerators i.e. LCM of 261,535 is 139635.

GCF of Denominators means GCF of 98,6587 as per the given fractions.

GCF of 98,6587 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 261,535

LCM of Fractions 261/98,535/6587 is 139635/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 139635

Least Common Multiple of 261,535 with GCF Formula

Least Common Multiple of 261,535 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 261,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(261,535) = 1

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

GCF(261,535) x common factors =1 x 1 = 1

LCM(261,535) = ( 261 × 535 ) / 1

LCM(261,535) = 139635 / 1

LCM(261,535) = 139635


Lets's calculate GCF of 98,6587

7 98, 6587
14, 941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139635/7

Therefore the LCM of Fractions 261/98,535/6587 is 139635/7

Greatest Common Factor of 98,6587 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,6587 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 6587

List of positive integer factors of 6587 that divides 6587 without a remainder.

1,7,941,6587

Greatest Common Factor

We found the factors 98,6587 . The biggest common factor number is the GCF number.
So the greatest common factor 98,6587 is 7.


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 261/98, 535/6587

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 261/98, 535/6587?

Answer: LCM of Numerators as per given numbers 261/98, 535/6587 is

LCM of Numerators i.e. for 261,535 is 139635

GCF of denominators i.e. for 98,6587 is 7.

Thus, LCM of Fractions is 139635/7.Finally, LCM of Fractions for 261/98, 535/6587 is 139635/7.