Least Common Multiple of 26/336, 64/540, 778/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/336, 64/540, 778/507 quickly i.e. 323648/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/336, 64/540, 778/507 is 323648/3.

LCM(26/336, 64/540, 778/507) = 323648/3

LCM of 26/336, 64/540, 778/507

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 26/336,64/540,778/507

Given numbers are 26/336,64/540,778/507

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 26,64,778

Least Common Multiple of Numerators i.e. LCM of 26,64,778 is 323648.

GCF of Denominators means GCF of 336,540,507 as per the given fractions.

GCF of 336,540,507 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,64,778

LCM of Fractions 26/336,64/540,778/507 is 323648/3

2 26, 64, 778
13, 32, 389

∴ So the LCM of the given numbers is 2 x 13 x 32 x 389 = 323648

Least Common Multiple of 26,64,778 with GCF Formula

Least Common Multiple of 26,64,778 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 26,64,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,64,778) = 2

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

GCF(26,64,778) x common factors =2 x 2 = 4

LCM(26,64,778) = ( 26 × 64 × 778 ) / 4

LCM(26,64,778) = 1294592 / 4

LCM(26,64,778) = 323648


Lets's calculate GCF of 336,540,507

3 336, 540, 507
112, 180, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323648/3

Therefore the LCM of Fractions 26/336,64/540,778/507 is 323648/3

Greatest Common Factor of 336,540,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,540,507 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 336,540,507 . The biggest common factor number is the GCF number.
So the greatest common factor 336,540,507 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 26/336, 64/540, 778/507

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 26/336, 64/540, 778/507?

Answer: LCM of Numerators as per given numbers 26/336, 64/540, 778/507 is

LCM of Numerators i.e. for 26,64,778 is 323648

GCF of denominators i.e. for 336,540,507 is 3.

Thus, LCM of Fractions is 323648/3.Finally, LCM of Fractions for 26/336, 64/540, 778/507 is 323648/3.