Least Common Multiple of 970/258, 135/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 970/258, 135/761 quickly i.e. 26190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 970/258, 135/761 is 26190.

LCM(970/258, 135/761) = 26190

LCM of 970/258, 135/761

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 970/258,135/761

Given numbers are 970/258,135/761

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 970,135

Least Common Multiple of Numerators i.e. LCM of 970,135 is 26190.

GCF of Denominators means GCF of 258,761 as per the given fractions.

GCF of 258,761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 970,135

LCM of Fractions 970/258,135/761 is 26190

5 970, 135
194, 27

∴ So the LCM of the given numbers is 5 x 194 x 27 = 26190

Least Common Multiple of 970,135 with GCF Formula

Least Common Multiple of 970,135 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 970,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,135) = 5

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

GCF(970,135) x common factors =5 x 1 = 5

LCM(970,135) = ( 970 × 135 ) / 5

LCM(970,135) = 130950 / 5

LCM(970,135) = 26190


Lets's calculate GCF of 258,761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26190/1

Therefore the LCM of Fractions 970/258,135/761 is 26190

Greatest Common Factor of 258,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,761 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 258,761 . The biggest common factor number is the GCF number.
So the greatest common factor 258,761 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 970/258, 135/761

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 970/258, 135/761?

Answer: LCM of Numerators as per given numbers 970/258, 135/761 is

LCM of Numerators i.e. for 970,135 is 26190

GCF of denominators i.e. for 258,761 is 1.

Thus, LCM of Fractions is 26190.Finally, LCM of Fractions for 970/258, 135/761 is 26190.