Least Common Multiple of 31/493, 25/915, 820/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/493, 25/915, 820/559 quickly i.e. 127100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/493, 25/915, 820/559 is 127100.

LCM(31/493, 25/915, 820/559) = 127100

LCM of 31/493, 25/915, 820/559

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 31/493,25/915,820/559

Given numbers are 31/493,25/915,820/559

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 31,25,820

Least Common Multiple of Numerators i.e. LCM of 31,25,820 is 127100.

GCF of Denominators means GCF of 493,915,559 as per the given fractions.

GCF of 493,915,559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,25,820

LCM of Fractions 31/493,25/915,820/559 is 127100

5 31, 25, 820
31, 5, 164

∴ So the LCM of the given numbers is 5 x 31 x 5 x 164 = 127100

Least Common Multiple of 31,25,820 with GCF Formula

Least Common Multiple of 31,25,820 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 31,25,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,25,820) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(31,25,820) x common factors =1 x 5 = 5

LCM(31,25,820) = ( 31 × 25 × 820 ) / 5

LCM(31,25,820) = 635500 / 5

LCM(31,25,820) = 127100


Lets's calculate GCF of 493,915,559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127100/1

Therefore the LCM of Fractions 31/493,25/915,820/559 is 127100

Greatest Common Factor of 493,915,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,915,559 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 493,915,559 . The biggest common factor number is the GCF number.
So the greatest common factor 493,915,559 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 31/493, 25/915, 820/559

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 31/493, 25/915, 820/559?

Answer: LCM of Numerators as per given numbers 31/493, 25/915, 820/559 is

LCM of Numerators i.e. for 31,25,820 is 127100

GCF of denominators i.e. for 493,915,559 is 1.

Thus, LCM of Fractions is 127100.Finally, LCM of Fractions for 31/493, 25/915, 820/559 is 127100.