Least Common Multiple of 13/353, 23/123, 791/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/353, 23/123, 791/178 quickly i.e. 236509 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/353, 23/123, 791/178 is 236509.

LCM(13/353, 23/123, 791/178) = 236509

LCM of 13/353, 23/123, 791/178

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 13/353,23/123,791/178

Given numbers are 13/353,23/123,791/178

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 13,23,791

Least Common Multiple of Numerators i.e. LCM of 13,23,791 is 236509.

GCF of Denominators means GCF of 353,123,178 as per the given fractions.

GCF of 353,123,178 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,23,791

LCM of Fractions 13/353,23/123,791/178 is 236509

Given numbers has no common factors except 1. So, there LCM is their product i.e 236509

Least Common Multiple of 13,23,791 with GCF Formula

Least Common Multiple of 13,23,791 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 13,23,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,23,791) = 1

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

GCF(13,23,791) x common factors =1 x 1 = 1

LCM(13,23,791) = ( 13 × 23 × 791 ) / 1

LCM(13,23,791) = 236509 / 1

LCM(13,23,791) = 236509


Lets's calculate GCF of 353,123,178

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 236509/1

Therefore the LCM of Fractions 13/353,23/123,791/178 is 236509

Greatest Common Factor of 353,123,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,123,178 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 353,123,178 . The biggest common factor number is the GCF number.
So the greatest common factor 353,123,178 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 13/353, 23/123, 791/178

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 13/353, 23/123, 791/178?

Answer: LCM of Numerators as per given numbers 13/353, 23/123, 791/178 is

LCM of Numerators i.e. for 13,23,791 is 236509

GCF of denominators i.e. for 353,123,178 is 1.

Thus, LCM of Fractions is 236509.Finally, LCM of Fractions for 13/353, 23/123, 791/178 is 236509.