Least Common Multiple of 31/566, 20/920, 248/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/566, 20/920, 248/322 quickly i.e. 620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/566, 20/920, 248/322 is 620.

LCM(31/566, 20/920, 248/322) = 620

LCM of 31/566, 20/920, 248/322

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 31/566,20/920,248/322

Given numbers are 31/566,20/920,248/322

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 31,20,248

Least Common Multiple of Numerators i.e. LCM of 31,20,248 is 1240.

GCF of Denominators means GCF of 566,920,322 as per the given fractions.

GCF of 566,920,322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,20,248

LCM of Fractions 31/566,20/920,248/322 is 620

2 31, 20, 248
2 31, 10, 124
31 31, 5, 62
1, 5, 2

∴ So the LCM of the given numbers is 2 x 2 x 31 x 1 x 5 x 2 = 1240

Least Common Multiple of 31,20,248 with GCF Formula

Least Common Multiple of 31,20,248 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 31,20,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,20,248) = 1

common factors(in case of two or more numbers have common factors) = 124

GCF(31,20,248) x common factors =1 x 124 = 124

LCM(31,20,248) = ( 31 × 20 × 248 ) / 124

LCM(31,20,248) = 153760 / 124

LCM(31,20,248) = 1240


Lets's calculate GCF of 566,920,322

2 566, 920, 322
283, 460, 161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1240/2

Therefore the LCM of Fractions 31/566,20/920,248/322 is 620

Greatest Common Factor of 566,920,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,920,322 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 566,920,322 . The biggest common factor number is the GCF number.
So the greatest common factor 566,920,322 is 2.


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 31/566, 20/920, 248/322

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 31/566, 20/920, 248/322?

Answer: LCM of Numerators as per given numbers 31/566, 20/920, 248/322 is

LCM of Numerators i.e. for 31,20,248 is 1240

GCF of denominators i.e. for 566,920,322 is 2.

Thus, LCM of Fractions is 620.Finally, LCM of Fractions for 31/566, 20/920, 248/322 is 620.