Least Common Multiple of 526/540, 3220/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 526/540, 3220/256 quickly i.e. 211715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 526/540, 3220/256 is 211715.

LCM(526/540, 3220/256) = 211715

LCM of 526/540, 3220/256

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 526/540,3220/256

Given numbers are 526/540,3220/256

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 526,3220

Least Common Multiple of Numerators i.e. LCM of 526,3220 is 846860.

GCF of Denominators means GCF of 540,256 as per the given fractions.

GCF of 540,256 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 526,3220

LCM of Fractions 526/540,3220/256 is 211715

2 526, 3220
263, 1610

∴ So the LCM of the given numbers is 2 x 263 x 1610 = 846860

Least Common Multiple of 526,3220 with GCF Formula

Least Common Multiple of 526,3220 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 526,3220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,3220) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(526,3220) x common factors =2 x 1 = 2

LCM(526,3220) = ( 526 × 3220 ) / 2

LCM(526,3220) = 1693720 / 2

LCM(526,3220) = 846860


Lets's calculate GCF of 540,256

2 540, 256
2 270, 128
135, 64

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 846860/4

Therefore the LCM of Fractions 526/540,3220/256 is 211715

Greatest Common Factor of 540,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,256 By Matching Biggest Common Factor Method

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 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 540,256 . The biggest common factor number is the GCF number.
So the greatest common factor 540,256 is 4.


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 526/540, 3220/256

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 526/540, 3220/256?

Answer: LCM of Numerators as per given numbers 526/540, 3220/256 is

LCM of Numerators i.e. for 526,3220 is 846860

GCF of denominators i.e. for 540,256 is 4.

Thus, LCM of Fractions is 211715.Finally, LCM of Fractions for 526/540, 3220/256 is 211715.