Least Common Multiple of 975/81, 260/13, 926/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 975/81, 260/13, 926/760 quickly i.e. 1805700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 975/81, 260/13, 926/760 is 1805700.

LCM(975/81, 260/13, 926/760) = 1805700

LCM of 975/81, 260/13, 926/760

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 975/81,260/13,926/760

Given numbers are 975/81,260/13,926/760

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 975,260,926

Least Common Multiple of Numerators i.e. LCM of 975,260,926 is 1805700.

GCF of Denominators means GCF of 81,13,760 as per the given fractions.

GCF of 81,13,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 975,260,926

LCM of Fractions 975/81,260/13,926/760 is 1805700

2 975, 260, 926
5 975, 130, 463
13 195, 26, 463
15, 2, 463

∴ So the LCM of the given numbers is 2 x 5 x 13 x 15 x 2 x 463 = 1805700

Least Common Multiple of 975,260,926 with GCF Formula

Least Common Multiple of 975,260,926 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 975,260,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,260,926) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(975,260,926) x common factors =1 x 130 = 130

LCM(975,260,926) = ( 975 × 260 × 926 ) / 130

LCM(975,260,926) = 234741000 / 130

LCM(975,260,926) = 1805700


Lets's calculate GCF of 81,13,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1805700/1

Therefore the LCM of Fractions 975/81,260/13,926/760 is 1805700

Greatest Common Factor of 81,13,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,13,760 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 81,13,760 . The biggest common factor number is the GCF number.
So the greatest common factor 81,13,760 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 975/81, 260/13, 926/760

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 975/81, 260/13, 926/760?

Answer: LCM of Numerators as per given numbers 975/81, 260/13, 926/760 is

LCM of Numerators i.e. for 975,260,926 is 1805700

GCF of denominators i.e. for 81,13,760 is 1.

Thus, LCM of Fractions is 1805700.Finally, LCM of Fractions for 975/81, 260/13, 926/760 is 1805700.