Least Common Multiple of 31/364, 775/527, 243/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/364, 775/527, 243/400 quickly i.e. 188325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/364, 775/527, 243/400 is 188325.

LCM(31/364, 775/527, 243/400) = 188325

LCM of 31/364, 775/527, 243/400

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 31/364,775/527,243/400

Given numbers are 31/364,775/527,243/400

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 31,775,243

Least Common Multiple of Numerators i.e. LCM of 31,775,243 is 188325.

GCF of Denominators means GCF of 364,527,400 as per the given fractions.

GCF of 364,527,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,775,243

LCM of Fractions 31/364,775/527,243/400 is 188325

31 31, 775, 243
1, 25, 243

∴ So the LCM of the given numbers is 31 x 1 x 25 x 243 = 188325

Least Common Multiple of 31,775,243 with GCF Formula

Least Common Multiple of 31,775,243 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 31,775,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,775,243) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(31,775,243) x common factors =1 x 31 = 31

LCM(31,775,243) = ( 31 × 775 × 243 ) / 31

LCM(31,775,243) = 5838075 / 31

LCM(31,775,243) = 188325


Lets's calculate GCF of 364,527,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188325/1

Therefore the LCM of Fractions 31/364,775/527,243/400 is 188325

Greatest Common Factor of 364,527,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,527,400 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

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 364,527,400 . The biggest common factor number is the GCF number.
So the greatest common factor 364,527,400 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 31/364, 775/527, 243/400

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 31/364, 775/527, 243/400?

Answer: LCM of Numerators as per given numbers 31/364, 775/527, 243/400 is

LCM of Numerators i.e. for 31,775,243 is 188325

GCF of denominators i.e. for 364,527,400 is 1.

Thus, LCM of Fractions is 188325.Finally, LCM of Fractions for 31/364, 775/527, 243/400 is 188325.