Least Common Multiple of 31/33, 40/527, 457/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/33, 40/527, 457/820 quickly i.e. 566680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/33, 40/527, 457/820 is 566680.

LCM(31/33, 40/527, 457/820) = 566680

LCM of 31/33, 40/527, 457/820

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 31/33,40/527,457/820

Given numbers are 31/33,40/527,457/820

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 31,40,457

Least Common Multiple of Numerators i.e. LCM of 31,40,457 is 566680.

GCF of Denominators means GCF of 33,527,820 as per the given fractions.

GCF of 33,527,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,40,457

LCM of Fractions 31/33,40/527,457/820 is 566680

Given numbers has no common factors except 1. So, there LCM is their product i.e 566680

Least Common Multiple of 31,40,457 with GCF Formula

Least Common Multiple of 31,40,457 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 31,40,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,40,457) = 1

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

GCF(31,40,457) x common factors =1 x 1 = 1

LCM(31,40,457) = ( 31 × 40 × 457 ) / 1

LCM(31,40,457) = 566680 / 1

LCM(31,40,457) = 566680


Lets's calculate GCF of 33,527,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 566680/1

Therefore the LCM of Fractions 31/33,40/527,457/820 is 566680

Greatest Common Factor of 33,527,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,527,820 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 527

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

1,17,31,527

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 33,527,820 . The biggest common factor number is the GCF number.
So the greatest common factor 33,527,820 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 31/33, 40/527, 457/820

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 31/33, 40/527, 457/820?

Answer: LCM of Numerators as per given numbers 31/33, 40/527, 457/820 is

LCM of Numerators i.e. for 31,40,457 is 566680

GCF of denominators i.e. for 33,527,820 is 1.

Thus, LCM of Fractions is 566680.Finally, LCM of Fractions for 31/33, 40/527, 457/820 is 566680.