Least Common Multiple of 314/555, 7944/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/555, 7944/723 quickly i.e. 415736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/555, 7944/723 is 415736.

LCM(314/555, 7944/723) = 415736

LCM of 314/555, 7944/723

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 314/555,7944/723

Given numbers are 314/555,7944/723

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 314,7944

Least Common Multiple of Numerators i.e. LCM of 314,7944 is 1247208.

GCF of Denominators means GCF of 555,723 as per the given fractions.

GCF of 555,723 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,7944

LCM of Fractions 314/555,7944/723 is 415736

2 314, 7944
157, 3972

∴ So the LCM of the given numbers is 2 x 157 x 3972 = 1247208

Least Common Multiple of 314,7944 with GCF Formula

Least Common Multiple of 314,7944 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 314,7944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,7944) = 2

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

GCF(314,7944) x common factors =2 x 1 = 2

LCM(314,7944) = ( 314 × 7944 ) / 2

LCM(314,7944) = 2494416 / 2

LCM(314,7944) = 1247208


Lets's calculate GCF of 555,723

3 555, 723
185, 241

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1247208/3

Therefore the LCM of Fractions 314/555,7944/723 is 415736

Greatest Common Factor of 555,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,723 By Matching Biggest Common Factor Method

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

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 555,723 . The biggest common factor number is the GCF number.
So the greatest common factor 555,723 is 3.


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 314/555, 7944/723

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 314/555, 7944/723?

Answer: LCM of Numerators as per given numbers 314/555, 7944/723 is

LCM of Numerators i.e. for 314,7944 is 1247208

GCF of denominators i.e. for 555,723 is 3.

Thus, LCM of Fractions is 415736.Finally, LCM of Fractions for 314/555, 7944/723 is 415736.