Least Common Multiple of 79/744, 26/787, 782/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/744, 26/787, 782/811 quickly i.e. 803114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/744, 26/787, 782/811 is 803114.

LCM(79/744, 26/787, 782/811) = 803114

LCM of 79/744, 26/787, 782/811

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 79/744,26/787,782/811

Given numbers are 79/744,26/787,782/811

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 79,26,782

Least Common Multiple of Numerators i.e. LCM of 79,26,782 is 803114.

GCF of Denominators means GCF of 744,787,811 as per the given fractions.

GCF of 744,787,811 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,26,782

LCM of Fractions 79/744,26/787,782/811 is 803114

2 79, 26, 782
79, 13, 391

∴ So the LCM of the given numbers is 2 x 79 x 13 x 391 = 803114

Least Common Multiple of 79,26,782 with GCF Formula

Least Common Multiple of 79,26,782 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 79,26,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,26,782) = 1

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

GCF(79,26,782) x common factors =1 x 2 = 2

LCM(79,26,782) = ( 79 × 26 × 782 ) / 2

LCM(79,26,782) = 1606228 / 2

LCM(79,26,782) = 803114


Lets's calculate GCF of 744,787,811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 803114/1

Therefore the LCM of Fractions 79/744,26/787,782/811 is 803114

Greatest Common Factor of 744,787,811 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,787,811 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Greatest Common Factor

We found the factors 744,787,811 . The biggest common factor number is the GCF number.
So the greatest common factor 744,787,811 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 79/744, 26/787, 782/811

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 79/744, 26/787, 782/811?

Answer: LCM of Numerators as per given numbers 79/744, 26/787, 782/811 is

LCM of Numerators i.e. for 79,26,782 is 803114

GCF of denominators i.e. for 744,787,811 is 1.

Thus, LCM of Fractions is 803114.Finally, LCM of Fractions for 79/744, 26/787, 782/811 is 803114.