Least Common Multiple of 20/788, 283/477, 398/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/788, 283/477, 398/493 quickly i.e. 1126340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/788, 283/477, 398/493 is 1126340.

LCM(20/788, 283/477, 398/493) = 1126340

LCM of 20/788, 283/477, 398/493

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 20/788,283/477,398/493

Given numbers are 20/788,283/477,398/493

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 20,283,398

Least Common Multiple of Numerators i.e. LCM of 20,283,398 is 1126340.

GCF of Denominators means GCF of 788,477,493 as per the given fractions.

GCF of 788,477,493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,283,398

LCM of Fractions 20/788,283/477,398/493 is 1126340

2 20, 283, 398
10, 283, 199

∴ So the LCM of the given numbers is 2 x 10 x 283 x 199 = 1126340

Least Common Multiple of 20,283,398 with GCF Formula

Least Common Multiple of 20,283,398 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 20,283,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,283,398) = 1

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

GCF(20,283,398) x common factors =1 x 2 = 2

LCM(20,283,398) = ( 20 × 283 × 398 ) / 2

LCM(20,283,398) = 2252680 / 2

LCM(20,283,398) = 1126340


Lets's calculate GCF of 788,477,493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1126340/1

Therefore the LCM of Fractions 20/788,283/477,398/493 is 1126340

Greatest Common Factor of 788,477,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,477,493 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 493

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

1,17,29,493

Greatest Common Factor

We found the factors 788,477,493 . The biggest common factor number is the GCF number.
So the greatest common factor 788,477,493 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 20/788, 283/477, 398/493

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 20/788, 283/477, 398/493?

Answer: LCM of Numerators as per given numbers 20/788, 283/477, 398/493 is

LCM of Numerators i.e. for 20,283,398 is 1126340

GCF of denominators i.e. for 788,477,493 is 1.

Thus, LCM of Fractions is 1126340.Finally, LCM of Fractions for 20/788, 283/477, 398/493 is 1126340.