Least Common Multiple of 26/184, 208/429, 757/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/184, 208/429, 757/407 quickly i.e. 157456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/184, 208/429, 757/407 is 157456.

LCM(26/184, 208/429, 757/407) = 157456

LCM of 26/184, 208/429, 757/407

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 26/184,208/429,757/407

Given numbers are 26/184,208/429,757/407

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 26,208,757

Least Common Multiple of Numerators i.e. LCM of 26,208,757 is 157456.

GCF of Denominators means GCF of 184,429,407 as per the given fractions.

GCF of 184,429,407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,208,757

LCM of Fractions 26/184,208/429,757/407 is 157456

2 26, 208, 757
13 13, 104, 757
1, 8, 757

∴ So the LCM of the given numbers is 2 x 13 x 1 x 8 x 757 = 157456

Least Common Multiple of 26,208,757 with GCF Formula

Least Common Multiple of 26,208,757 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 26,208,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,208,757) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(26,208,757) x common factors =1 x 26 = 26

LCM(26,208,757) = ( 26 × 208 × 757 ) / 26

LCM(26,208,757) = 4093856 / 26

LCM(26,208,757) = 157456


Lets's calculate GCF of 184,429,407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157456/1

Therefore the LCM of Fractions 26/184,208/429,757/407 is 157456

Greatest Common Factor of 184,429,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,429,407 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 184,429,407 . The biggest common factor number is the GCF number.
So the greatest common factor 184,429,407 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 26/184, 208/429, 757/407

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 26/184, 208/429, 757/407?

Answer: LCM of Numerators as per given numbers 26/184, 208/429, 757/407 is

LCM of Numerators i.e. for 26,208,757 is 157456

GCF of denominators i.e. for 184,429,407 is 1.

Thus, LCM of Fractions is 157456.Finally, LCM of Fractions for 26/184, 208/429, 757/407 is 157456.