Least Common Multiple of 526/78, 249/21, 273/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 526/78, 249/21, 273/256 quickly i.e. 11918634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 526/78, 249/21, 273/256 is 11918634.

LCM(526/78, 249/21, 273/256) = 11918634

LCM of 526/78, 249/21, 273/256

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 526/78,249/21,273/256

Given numbers are 526/78,249/21,273/256

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 526,249,273

Least Common Multiple of Numerators i.e. LCM of 526,249,273 is 11918634.

GCF of Denominators means GCF of 78,21,256 as per the given fractions.

GCF of 78,21,256 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 526,249,273

LCM of Fractions 526/78,249/21,273/256 is 11918634

3 526, 249, 273
526, 83, 91

∴ So the LCM of the given numbers is 3 x 526 x 83 x 91 = 11918634

Least Common Multiple of 526,249,273 with GCF Formula

Least Common Multiple of 526,249,273 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 526,249,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,249,273) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(526,249,273) x common factors =1 x 3 = 3

LCM(526,249,273) = ( 526 × 249 × 273 ) / 3

LCM(526,249,273) = 35755902 / 3

LCM(526,249,273) = 11918634


Lets's calculate GCF of 78,21,256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11918634/1

Therefore the LCM of Fractions 526/78,249/21,273/256 is 11918634

Greatest Common Factor of 78,21,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,21,256 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 78,21,256 . The biggest common factor number is the GCF number.
So the greatest common factor 78,21,256 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 526/78, 249/21, 273/256

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 526/78, 249/21, 273/256?

Answer: LCM of Numerators as per given numbers 526/78, 249/21, 273/256 is

LCM of Numerators i.e. for 526,249,273 is 11918634

GCF of denominators i.e. for 78,21,256 is 1.

Thus, LCM of Fractions is 11918634.Finally, LCM of Fractions for 526/78, 249/21, 273/256 is 11918634.