Least Common Multiple of 59/99, 575/76, 205/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 59/99, 575/76, 205/387 quickly i.e. 1390925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/99, 575/76, 205/387 is 1390925.

LCM(59/99, 575/76, 205/387) = 1390925

LCM of 59/99, 575/76, 205/387

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 59/99,575/76,205/387

Given numbers are 59/99,575/76,205/387

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 59,575,205

Least Common Multiple of Numerators i.e. LCM of 59,575,205 is 1390925.

GCF of Denominators means GCF of 99,76,387 as per the given fractions.

GCF of 99,76,387 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,575,205

LCM of Fractions 59/99,575/76,205/387 is 1390925

5 59, 575, 205
59, 115, 41

∴ So the LCM of the given numbers is 5 x 59 x 115 x 41 = 1390925

Least Common Multiple of 59,575,205 with GCF Formula

Least Common Multiple of 59,575,205 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 59,575,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,575,205) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(59,575,205) x common factors =1 x 5 = 5

LCM(59,575,205) = ( 59 × 575 × 205 ) / 5

LCM(59,575,205) = 6954625 / 5

LCM(59,575,205) = 1390925


Lets's calculate GCF of 99,76,387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1390925/1

Therefore the LCM of Fractions 59/99,575/76,205/387 is 1390925

Greatest Common Factor of 99,76,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,76,387 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 99,76,387 . The biggest common factor number is the GCF number.
So the greatest common factor 99,76,387 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 59/99, 575/76, 205/387

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 59/99, 575/76, 205/387?

Answer: LCM of Numerators as per given numbers 59/99, 575/76, 205/387 is

LCM of Numerators i.e. for 59,575,205 is 1390925

GCF of denominators i.e. for 99,76,387 is 1.

Thus, LCM of Fractions is 1390925.Finally, LCM of Fractions for 59/99, 575/76, 205/387 is 1390925.