Least Common Multiple of 254/75, 782/11, 829/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 254/75, 782/11, 829/258 quickly i.e. 82331306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 254/75, 782/11, 829/258 is 82331306.

LCM(254/75, 782/11, 829/258) = 82331306

LCM of 254/75, 782/11, 829/258

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 254/75,782/11,829/258

Given numbers are 254/75,782/11,829/258

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 254,782,829

Least Common Multiple of Numerators i.e. LCM of 254,782,829 is 82331306.

GCF of Denominators means GCF of 75,11,258 as per the given fractions.

GCF of 75,11,258 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 254,782,829

LCM of Fractions 254/75,782/11,829/258 is 82331306

2 254, 782, 829
127, 391, 829

∴ So the LCM of the given numbers is 2 x 127 x 391 x 829 = 82331306

Least Common Multiple of 254,782,829 with GCF Formula

Least Common Multiple of 254,782,829 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 254,782,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,782,829) = 1

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

GCF(254,782,829) x common factors =1 x 2 = 2

LCM(254,782,829) = ( 254 × 782 × 829 ) / 2

LCM(254,782,829) = 164662612 / 2

LCM(254,782,829) = 82331306


Lets's calculate GCF of 75,11,258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82331306/1

Therefore the LCM of Fractions 254/75,782/11,829/258 is 82331306

Greatest Common Factor of 75,11,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,11,258 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 258

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

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

Greatest Common Factor

We found the factors 75,11,258 . The biggest common factor number is the GCF number.
So the greatest common factor 75,11,258 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 254/75, 782/11, 829/258

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 254/75, 782/11, 829/258?

Answer: LCM of Numerators as per given numbers 254/75, 782/11, 829/258 is

LCM of Numerators i.e. for 254,782,829 is 82331306

GCF of denominators i.e. for 75,11,258 is 1.

Thus, LCM of Fractions is 82331306.Finally, LCM of Fractions for 254/75, 782/11, 829/258 is 82331306.