Least Common Multiple of 512/793, 302/215, 386/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/793, 302/215, 386/826 quickly i.e. 14921216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/793, 302/215, 386/826 is 14921216.

LCM(512/793, 302/215, 386/826) = 14921216

LCM of 512/793, 302/215, 386/826

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 512/793,302/215,386/826

Given numbers are 512/793,302/215,386/826

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 512,302,386

Least Common Multiple of Numerators i.e. LCM of 512,302,386 is 14921216.

GCF of Denominators means GCF of 793,215,826 as per the given fractions.

GCF of 793,215,826 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,302,386

LCM of Fractions 512/793,302/215,386/826 is 14921216

2 512, 302, 386
256, 151, 193

∴ So the LCM of the given numbers is 2 x 256 x 151 x 193 = 14921216

Least Common Multiple of 512,302,386 with GCF Formula

Least Common Multiple of 512,302,386 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 512,302,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,302,386) = 2

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

GCF(512,302,386) x common factors =2 x 2 = 4

LCM(512,302,386) = ( 512 × 302 × 386 ) / 4

LCM(512,302,386) = 59684864 / 4

LCM(512,302,386) = 14921216


Lets's calculate GCF of 793,215,826

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14921216/1

Therefore the LCM of Fractions 512/793,302/215,386/826 is 14921216

Greatest Common Factor of 793,215,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 793,215,826 By Matching Biggest Common Factor Method

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 793,215,826 . The biggest common factor number is the GCF number.
So the greatest common factor 793,215,826 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 512/793, 302/215, 386/826

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 512/793, 302/215, 386/826?

Answer: LCM of Numerators as per given numbers 512/793, 302/215, 386/826 is

LCM of Numerators i.e. for 512,302,386 is 14921216

GCF of denominators i.e. for 793,215,826 is 1.

Thus, LCM of Fractions is 14921216.Finally, LCM of Fractions for 512/793, 302/215, 386/826 is 14921216.