Least Common Multiple of 13/354, 81/871, 355/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/354, 81/871, 355/723 quickly i.e. 373815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/354, 81/871, 355/723 is 373815.

LCM(13/354, 81/871, 355/723) = 373815

LCM of 13/354, 81/871, 355/723

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 13/354,81/871,355/723

Given numbers are 13/354,81/871,355/723

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 13,81,355

Least Common Multiple of Numerators i.e. LCM of 13,81,355 is 373815.

GCF of Denominators means GCF of 354,871,723 as per the given fractions.

GCF of 354,871,723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,81,355

LCM of Fractions 13/354,81/871,355/723 is 373815

Given numbers has no common factors except 1. So, there LCM is their product i.e 373815

Least Common Multiple of 13,81,355 with GCF Formula

Least Common Multiple of 13,81,355 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 13,81,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,81,355) = 1

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

GCF(13,81,355) x common factors =1 x 1 = 1

LCM(13,81,355) = ( 13 × 81 × 355 ) / 1

LCM(13,81,355) = 373815 / 1

LCM(13,81,355) = 373815


Lets's calculate GCF of 354,871,723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 373815/1

Therefore the LCM of Fractions 13/354,81/871,355/723 is 373815

Greatest Common Factor of 354,871,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,871,723 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 354,871,723 . The biggest common factor number is the GCF number.
So the greatest common factor 354,871,723 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 13/354, 81/871, 355/723

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 13/354, 81/871, 355/723?

Answer: LCM of Numerators as per given numbers 13/354, 81/871, 355/723 is

LCM of Numerators i.e. for 13,81,355 is 373815

GCF of denominators i.e. for 354,871,723 is 1.

Thus, LCM of Fractions is 373815.Finally, LCM of Fractions for 13/354, 81/871, 355/723 is 373815.