Least Common Multiple of 523/76, 596/60, 655/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/76, 596/60, 655/400 quickly i.e. 51042185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/76, 596/60, 655/400 is 51042185.

LCM(523/76, 596/60, 655/400) = 51042185

LCM of 523/76, 596/60, 655/400

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 523/76,596/60,655/400

Given numbers are 523/76,596/60,655/400

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 523,596,655

Least Common Multiple of Numerators i.e. LCM of 523,596,655 is 204168740.

GCF of Denominators means GCF of 76,60,400 as per the given fractions.

GCF of 76,60,400 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,596,655

LCM of Fractions 523/76,596/60,655/400 is 51042185

Given numbers has no common factors except 1. So, there LCM is their product i.e 204168740

Least Common Multiple of 523,596,655 with GCF Formula

Least Common Multiple of 523,596,655 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 523,596,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,596,655) = 1

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

GCF(523,596,655) x common factors =1 x 1 = 1

LCM(523,596,655) = ( 523 × 596 × 655 ) / 1

LCM(523,596,655) = 204168740 / 1

LCM(523,596,655) = 204168740


Lets's calculate GCF of 76,60,400

2 76, 60, 400
2 38, 30, 200
19, 15, 100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204168740/4

Therefore the LCM of Fractions 523/76,596/60,655/400 is 51042185

Greatest Common Factor of 76,60,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,60,400 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 76,60,400 . The biggest common factor number is the GCF number.
So the greatest common factor 76,60,400 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 523/76, 596/60, 655/400

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 523/76, 596/60, 655/400?

Answer: LCM of Numerators as per given numbers 523/76, 596/60, 655/400 is

LCM of Numerators i.e. for 523,596,655 is 204168740

GCF of denominators i.e. for 76,60,400 is 4.

Thus, LCM of Fractions is 51042185.Finally, LCM of Fractions for 523/76, 596/60, 655/400 is 51042185.