Least Common Multiple of 83/38, 761/26, 782/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/38, 761/26, 782/768 quickly i.e. 24696733 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/38, 761/26, 782/768 is 24696733.

LCM(83/38, 761/26, 782/768) = 24696733

LCM of 83/38, 761/26, 782/768

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 83/38,761/26,782/768

Given numbers are 83/38,761/26,782/768

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 83,761,782

Least Common Multiple of Numerators i.e. LCM of 83,761,782 is 49393466.

GCF of Denominators means GCF of 38,26,768 as per the given fractions.

GCF of 38,26,768 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,761,782

LCM of Fractions 83/38,761/26,782/768 is 24696733

Given numbers has no common factors except 1. So, there LCM is their product i.e 49393466

Least Common Multiple of 83,761,782 with GCF Formula

Least Common Multiple of 83,761,782 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 83,761,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,761,782) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(83,761,782) x common factors =1 x 1 = 1

LCM(83,761,782) = ( 83 × 761 × 782 ) / 1

LCM(83,761,782) = 49393466 / 1

LCM(83,761,782) = 49393466


Lets's calculate GCF of 38,26,768

2 38, 26, 768
19, 13, 384

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49393466/2

Therefore the LCM of Fractions 83/38,761/26,782/768 is 24696733

Greatest Common Factor of 38,26,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,26,768 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 38,26,768 . The biggest common factor number is the GCF number.
So the greatest common factor 38,26,768 is 2.


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 83/38, 761/26, 782/768

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 83/38, 761/26, 782/768?

Answer: LCM of Numerators as per given numbers 83/38, 761/26, 782/768 is

LCM of Numerators i.e. for 83,761,782 is 49393466

GCF of denominators i.e. for 38,26,768 is 2.

Thus, LCM of Fractions is 24696733.Finally, LCM of Fractions for 83/38, 761/26, 782/768 is 24696733.