Least Common Multiple of 31/620, 28/711, 338/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/620, 28/711, 338/819 quickly i.e. 146692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/620, 28/711, 338/819 is 146692.

LCM(31/620, 28/711, 338/819) = 146692

LCM of 31/620, 28/711, 338/819

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 31/620,28/711,338/819

Given numbers are 31/620,28/711,338/819

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 31,28,338

Least Common Multiple of Numerators i.e. LCM of 31,28,338 is 146692.

GCF of Denominators means GCF of 620,711,819 as per the given fractions.

GCF of 620,711,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,28,338

LCM of Fractions 31/620,28/711,338/819 is 146692

2 31, 28, 338
31, 14, 169

∴ So the LCM of the given numbers is 2 x 31 x 14 x 169 = 146692

Least Common Multiple of 31,28,338 with GCF Formula

Least Common Multiple of 31,28,338 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 31,28,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,28,338) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(31,28,338) x common factors =1 x 2 = 2

LCM(31,28,338) = ( 31 × 28 × 338 ) / 2

LCM(31,28,338) = 293384 / 2

LCM(31,28,338) = 146692


Lets's calculate GCF of 620,711,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146692/1

Therefore the LCM of Fractions 31/620,28/711,338/819 is 146692

Greatest Common Factor of 620,711,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,711,819 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 620,711,819 . The biggest common factor number is the GCF number.
So the greatest common factor 620,711,819 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 31/620, 28/711, 338/819

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 31/620, 28/711, 338/819?

Answer: LCM of Numerators as per given numbers 31/620, 28/711, 338/819 is

LCM of Numerators i.e. for 31,28,338 is 146692

GCF of denominators i.e. for 620,711,819 is 1.

Thus, LCM of Fractions is 146692.Finally, LCM of Fractions for 31/620, 28/711, 338/819 is 146692.