Least Common Multiple of 26/249, 33/609, 138/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/249, 33/609, 138/765 quickly i.e. 6578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/249, 33/609, 138/765 is 6578.

LCM(26/249, 33/609, 138/765) = 6578

LCM of 26/249, 33/609, 138/765

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 26/249,33/609,138/765

Given numbers are 26/249,33/609,138/765

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 26,33,138

Least Common Multiple of Numerators i.e. LCM of 26,33,138 is 19734.

GCF of Denominators means GCF of 249,609,765 as per the given fractions.

GCF of 249,609,765 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,33,138

LCM of Fractions 26/249,33/609,138/765 is 6578

2 26, 33, 138
3 13, 33, 69
13, 11, 23

∴ So the LCM of the given numbers is 2 x 3 x 13 x 11 x 23 = 19734

Least Common Multiple of 26,33,138 with GCF Formula

Least Common Multiple of 26,33,138 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 26,33,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,33,138) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(26,33,138) x common factors =1 x 6 = 6

LCM(26,33,138) = ( 26 × 33 × 138 ) / 6

LCM(26,33,138) = 118404 / 6

LCM(26,33,138) = 19734


Lets's calculate GCF of 249,609,765

3 249, 609, 765
83, 203, 255

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19734/3

Therefore the LCM of Fractions 26/249,33/609,138/765 is 6578

Greatest Common Factor of 249,609,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,609,765 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 249,609,765 . The biggest common factor number is the GCF number.
So the greatest common factor 249,609,765 is 3.


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 26/249, 33/609, 138/765

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 26/249, 33/609, 138/765?

Answer: LCM of Numerators as per given numbers 26/249, 33/609, 138/765 is

LCM of Numerators i.e. for 26,33,138 is 19734

GCF of denominators i.e. for 249,609,765 is 3.

Thus, LCM of Fractions is 6578.Finally, LCM of Fractions for 26/249, 33/609, 138/765 is 6578.