Least Common Multiple of 83/363, 62/774, 320/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/363, 62/774, 320/500 quickly i.e. 823360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/363, 62/774, 320/500 is 823360.

LCM(83/363, 62/774, 320/500) = 823360

LCM of 83/363, 62/774, 320/500

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 83/363,62/774,320/500

Given numbers are 83/363,62/774,320/500

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 83,62,320

Least Common Multiple of Numerators i.e. LCM of 83,62,320 is 823360.

GCF of Denominators means GCF of 363,774,500 as per the given fractions.

GCF of 363,774,500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,62,320

LCM of Fractions 83/363,62/774,320/500 is 823360

2 83, 62, 320
83, 31, 160

∴ So the LCM of the given numbers is 2 x 83 x 31 x 160 = 823360

Least Common Multiple of 83,62,320 with GCF Formula

Least Common Multiple of 83,62,320 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 83,62,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,62,320) = 1

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

GCF(83,62,320) x common factors =1 x 2 = 2

LCM(83,62,320) = ( 83 × 62 × 320 ) / 2

LCM(83,62,320) = 1646720 / 2

LCM(83,62,320) = 823360


Lets's calculate GCF of 363,774,500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 823360/1

Therefore the LCM of Fractions 83/363,62/774,320/500 is 823360

Greatest Common Factor of 363,774,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,774,500 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 363,774,500 . The biggest common factor number is the GCF number.
So the greatest common factor 363,774,500 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 83/363, 62/774, 320/500

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 83/363, 62/774, 320/500?

Answer: LCM of Numerators as per given numbers 83/363, 62/774, 320/500 is

LCM of Numerators i.e. for 83,62,320 is 823360

GCF of denominators i.e. for 363,774,500 is 1.

Thus, LCM of Fractions is 823360.Finally, LCM of Fractions for 83/363, 62/774, 320/500 is 823360.