Least Common Multiple of 26/675, 7531/9850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/675, 7531/9850 quickly i.e. 195806/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/675, 7531/9850 is 195806/25.

LCM(26/675, 7531/9850) = 195806/25

LCM of 26/675, 7531/9850

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 26/675,7531/9850

Given numbers are 26/675,7531/9850

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 26,7531

Least Common Multiple of Numerators i.e. LCM of 26,7531 is 195806.

GCF of Denominators means GCF of 675,9850 as per the given fractions.

GCF of 675,9850 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,7531

LCM of Fractions 26/675,7531/9850 is 195806/25

Given numbers has no common factors except 1. So, there LCM is their product i.e 195806

Least Common Multiple of 26,7531 with GCF Formula

Least Common Multiple of 26,7531 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 26,7531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,7531) = 1

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

GCF(26,7531) x common factors =1 x 1 = 1

LCM(26,7531) = ( 26 × 7531 ) / 1

LCM(26,7531) = 195806 / 1

LCM(26,7531) = 195806


Lets's calculate GCF of 675,9850

5 675, 9850
5 135, 1970
27, 394

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195806/25

Therefore the LCM of Fractions 26/675,7531/9850 is 195806/25

Greatest Common Factor of 675,9850 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,9850 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 9850

List of positive integer factors of 9850 that divides 9850 without a remainder.

1,2,5,10,25,50,197,394,985,1970,4925,9850

Greatest Common Factor

We found the factors 675,9850 . The biggest common factor number is the GCF number.
So the greatest common factor 675,9850 is 25.


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 26/675, 7531/9850

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 26/675, 7531/9850?

Answer: LCM of Numerators as per given numbers 26/675, 7531/9850 is

LCM of Numerators i.e. for 26,7531 is 195806

GCF of denominators i.e. for 675,9850 is 25.

Thus, LCM of Fractions is 195806/25.Finally, LCM of Fractions for 26/675, 7531/9850 is 195806/25.