Least Common Multiple of 394/470, 254/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 394/470, 254/115 quickly i.e. 50038/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 394/470, 254/115 is 50038/5.

LCM(394/470, 254/115) = 50038/5

LCM of 394/470, 254/115

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 394/470,254/115

Given numbers are 394/470,254/115

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 394,254

Least Common Multiple of Numerators i.e. LCM of 394,254 is 50038.

GCF of Denominators means GCF of 470,115 as per the given fractions.

GCF of 470,115 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 394,254

LCM of Fractions 394/470,254/115 is 50038/5

2 394, 254
197, 127

∴ So the LCM of the given numbers is 2 x 197 x 127 = 50038

Least Common Multiple of 394,254 with GCF Formula

Least Common Multiple of 394,254 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 394,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,254) = 2

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

GCF(394,254) x common factors =2 x 1 = 2

LCM(394,254) = ( 394 × 254 ) / 2

LCM(394,254) = 100076 / 2

LCM(394,254) = 50038


Lets's calculate GCF of 470,115

5 470, 115
94, 23

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50038/5

Therefore the LCM of Fractions 394/470,254/115 is 50038/5

Greatest Common Factor of 470,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,115 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 470,115 . The biggest common factor number is the GCF number.
So the greatest common factor 470,115 is 5.


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 394/470, 254/115

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 394/470, 254/115?

Answer: LCM of Numerators as per given numbers 394/470, 254/115 is

LCM of Numerators i.e. for 394,254 is 50038

GCF of denominators i.e. for 470,115 is 5.

Thus, LCM of Fractions is 50038/5.Finally, LCM of Fractions for 394/470, 254/115 is 50038/5.