Least Common Multiple of 50/395, 21/113, 347/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/395, 21/113, 347/108 quickly i.e. 364350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/395, 21/113, 347/108 is 364350.

LCM(50/395, 21/113, 347/108) = 364350

LCM of 50/395, 21/113, 347/108

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 50/395,21/113,347/108

Given numbers are 50/395,21/113,347/108

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 50,21,347

Least Common Multiple of Numerators i.e. LCM of 50,21,347 is 364350.

GCF of Denominators means GCF of 395,113,108 as per the given fractions.

GCF of 395,113,108 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,21,347

LCM of Fractions 50/395,21/113,347/108 is 364350

Given numbers has no common factors except 1. So, there LCM is their product i.e 364350

Least Common Multiple of 50,21,347 with GCF Formula

Least Common Multiple of 50,21,347 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 50,21,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,21,347) = 1

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

GCF(50,21,347) x common factors =1 x 1 = 1

LCM(50,21,347) = ( 50 × 21 × 347 ) / 1

LCM(50,21,347) = 364350 / 1

LCM(50,21,347) = 364350


Lets's calculate GCF of 395,113,108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364350/1

Therefore the LCM of Fractions 50/395,21/113,347/108 is 364350

Greatest Common Factor of 395,113,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 395,113,108 By Matching Biggest Common Factor Method

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 395,113,108 . The biggest common factor number is the GCF number.
So the greatest common factor 395,113,108 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 50/395, 21/113, 347/108

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 50/395, 21/113, 347/108?

Answer: LCM of Numerators as per given numbers 50/395, 21/113, 347/108 is

LCM of Numerators i.e. for 50,21,347 is 364350

GCF of denominators i.e. for 395,113,108 is 1.

Thus, LCM of Fractions is 364350.Finally, LCM of Fractions for 50/395, 21/113, 347/108 is 364350.