Least Common Multiple of 111/779, 462/944, 901/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 111/779, 462/944, 901/742 quickly i.e. 15401694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 111/779, 462/944, 901/742 is 15401694.

LCM(111/779, 462/944, 901/742) = 15401694

LCM of 111/779, 462/944, 901/742

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 111/779,462/944,901/742

Given numbers are 111/779,462/944,901/742

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 111,462,901

Least Common Multiple of Numerators i.e. LCM of 111,462,901 is 15401694.

GCF of Denominators means GCF of 779,944,742 as per the given fractions.

GCF of 779,944,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 111,462,901

LCM of Fractions 111/779,462/944,901/742 is 15401694

3 111, 462, 901
37, 154, 901

∴ So the LCM of the given numbers is 3 x 37 x 154 x 901 = 15401694

Least Common Multiple of 111,462,901 with GCF Formula

Least Common Multiple of 111,462,901 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 111,462,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,462,901) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(111,462,901) x common factors =1 x 3 = 3

LCM(111,462,901) = ( 111 × 462 × 901 ) / 3

LCM(111,462,901) = 46205082 / 3

LCM(111,462,901) = 15401694


Lets's calculate GCF of 779,944,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15401694/1

Therefore the LCM of Fractions 111/779,462/944,901/742 is 15401694

Greatest Common Factor of 779,944,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,944,742 By Matching Biggest Common Factor Method

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 779,944,742 . The biggest common factor number is the GCF number.
So the greatest common factor 779,944,742 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 111/779, 462/944, 901/742

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 111/779, 462/944, 901/742?

Answer: LCM of Numerators as per given numbers 111/779, 462/944, 901/742 is

LCM of Numerators i.e. for 111,462,901 is 15401694

GCF of denominators i.e. for 779,944,742 is 1.

Thus, LCM of Fractions is 15401694.Finally, LCM of Fractions for 111/779, 462/944, 901/742 is 15401694.