Least Common Multiple of 950/90, 301/82, 192/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 950/90, 301/82, 192/103 quickly i.e. 27451200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 950/90, 301/82, 192/103 is 27451200.

LCM(950/90, 301/82, 192/103) = 27451200

LCM of 950/90, 301/82, 192/103

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 950/90,301/82,192/103

Given numbers are 950/90,301/82,192/103

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 950,301,192

Least Common Multiple of Numerators i.e. LCM of 950,301,192 is 27451200.

GCF of Denominators means GCF of 90,82,103 as per the given fractions.

GCF of 90,82,103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 950,301,192

LCM of Fractions 950/90,301/82,192/103 is 27451200

2 950, 301, 192
475, 301, 96

∴ So the LCM of the given numbers is 2 x 475 x 301 x 96 = 27451200

Least Common Multiple of 950,301,192 with GCF Formula

Least Common Multiple of 950,301,192 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 950,301,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,301,192) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(950,301,192) x common factors =1 x 2 = 2

LCM(950,301,192) = ( 950 × 301 × 192 ) / 2

LCM(950,301,192) = 54902400 / 2

LCM(950,301,192) = 27451200


Lets's calculate GCF of 90,82,103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27451200/1

Therefore the LCM of Fractions 950/90,301/82,192/103 is 27451200

Greatest Common Factor of 90,82,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,82,103 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 90,82,103 . The biggest common factor number is the GCF number.
So the greatest common factor 90,82,103 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 950/90, 301/82, 192/103

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 950/90, 301/82, 192/103?

Answer: LCM of Numerators as per given numbers 950/90, 301/82, 192/103 is

LCM of Numerators i.e. for 950,301,192 is 27451200

GCF of denominators i.e. for 90,82,103 is 1.

Thus, LCM of Fractions is 27451200.Finally, LCM of Fractions for 950/90, 301/82, 192/103 is 27451200.