Least Common Multiple of 13/293, 45/824, 191/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/293, 45/824, 191/977 quickly i.e. 111735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/293, 45/824, 191/977 is 111735.

LCM(13/293, 45/824, 191/977) = 111735

LCM of 13/293, 45/824, 191/977

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 13/293,45/824,191/977

Given numbers are 13/293,45/824,191/977

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 13,45,191

Least Common Multiple of Numerators i.e. LCM of 13,45,191 is 111735.

GCF of Denominators means GCF of 293,824,977 as per the given fractions.

GCF of 293,824,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,45,191

LCM of Fractions 13/293,45/824,191/977 is 111735

Given numbers has no common factors except 1. So, there LCM is their product i.e 111735

Least Common Multiple of 13,45,191 with GCF Formula

Least Common Multiple of 13,45,191 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 13,45,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,45,191) = 1

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

GCF(13,45,191) x common factors =1 x 1 = 1

LCM(13,45,191) = ( 13 × 45 × 191 ) / 1

LCM(13,45,191) = 111735 / 1

LCM(13,45,191) = 111735


Lets's calculate GCF of 293,824,977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111735/1

Therefore the LCM of Fractions 13/293,45/824,191/977 is 111735

Greatest Common Factor of 293,824,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,824,977 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 293,824,977 . The biggest common factor number is the GCF number.
So the greatest common factor 293,824,977 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 13/293, 45/824, 191/977

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 13/293, 45/824, 191/977?

Answer: LCM of Numerators as per given numbers 13/293, 45/824, 191/977 is

LCM of Numerators i.e. for 13,45,191 is 111735

GCF of denominators i.e. for 293,824,977 is 1.

Thus, LCM of Fractions is 111735.Finally, LCM of Fractions for 13/293, 45/824, 191/977 is 111735.