Least Common Multiple of 294/727, 1104/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 294/727, 1104/388 quickly i.e. 54096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 294/727, 1104/388 is 54096.

LCM(294/727, 1104/388) = 54096

LCM of 294/727, 1104/388

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 294/727,1104/388

Given numbers are 294/727,1104/388

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 294,1104

Least Common Multiple of Numerators i.e. LCM of 294,1104 is 54096.

GCF of Denominators means GCF of 727,388 as per the given fractions.

GCF of 727,388 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 294,1104

LCM of Fractions 294/727,1104/388 is 54096

2 294, 1104
3 147, 552
49, 184

∴ So the LCM of the given numbers is 2 x 3 x 49 x 184 = 54096

Least Common Multiple of 294,1104 with GCF Formula

Least Common Multiple of 294,1104 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 294,1104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,1104) = 6

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

GCF(294,1104) x common factors =6 x 1 = 6

LCM(294,1104) = ( 294 × 1104 ) / 6

LCM(294,1104) = 324576 / 6

LCM(294,1104) = 54096


Lets's calculate GCF of 727,388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54096/1

Therefore the LCM of Fractions 294/727,1104/388 is 54096

Greatest Common Factor of 727,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,388 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 727,388 . The biggest common factor number is the GCF number.
So the greatest common factor 727,388 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 294/727, 1104/388

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 294/727, 1104/388?

Answer: LCM of Numerators as per given numbers 294/727, 1104/388 is

LCM of Numerators i.e. for 294,1104 is 54096

GCF of denominators i.e. for 727,388 is 1.

Thus, LCM of Fractions is 54096.Finally, LCM of Fractions for 294/727, 1104/388 is 54096.