Least Common Multiple of 79/950, 87/102, 198/593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/950, 87/102, 198/593 quickly i.e. 453618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/950, 87/102, 198/593 is 453618.

LCM(79/950, 87/102, 198/593) = 453618

LCM of 79/950, 87/102, 198/593

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 79/950,87/102,198/593

Given numbers are 79/950,87/102,198/593

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 79,87,198

Least Common Multiple of Numerators i.e. LCM of 79,87,198 is 453618.

GCF of Denominators means GCF of 950,102,593 as per the given fractions.

GCF of 950,102,593 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,87,198

LCM of Fractions 79/950,87/102,198/593 is 453618

3 79, 87, 198
79, 29, 66

∴ So the LCM of the given numbers is 3 x 79 x 29 x 66 = 453618

Least Common Multiple of 79,87,198 with GCF Formula

Least Common Multiple of 79,87,198 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 79,87,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,87,198) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(79,87,198) x common factors =1 x 3 = 3

LCM(79,87,198) = ( 79 × 87 × 198 ) / 3

LCM(79,87,198) = 1360854 / 3

LCM(79,87,198) = 453618


Lets's calculate GCF of 950,102,593

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 453618/1

Therefore the LCM of Fractions 79/950,87/102,198/593 is 453618

Greatest Common Factor of 950,102,593 By Matching Biggest Common Factor Method

Greatest Common Factor of 950,102,593 By Matching Biggest Common Factor Method

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Greatest Common Factor

We found the factors 950,102,593 . The biggest common factor number is the GCF number.
So the greatest common factor 950,102,593 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 79/950, 87/102, 198/593

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 79/950, 87/102, 198/593?

Answer: LCM of Numerators as per given numbers 79/950, 87/102, 198/593 is

LCM of Numerators i.e. for 79,87,198 is 453618

GCF of denominators i.e. for 950,102,593 is 1.

Thus, LCM of Fractions is 453618.Finally, LCM of Fractions for 79/950, 87/102, 198/593 is 453618.