Least Common Multiple of 27/579, 516/59, 502/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 27/579, 516/59, 502/185 quickly i.e. 1165644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/579, 516/59, 502/185 is 1165644.

LCM(27/579, 516/59, 502/185) = 1165644

LCM of 27/579, 516/59, 502/185

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 27/579,516/59,502/185

Given numbers are 27/579,516/59,502/185

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 27,516,502

Least Common Multiple of Numerators i.e. LCM of 27,516,502 is 1165644.

GCF of Denominators means GCF of 579,59,185 as per the given fractions.

GCF of 579,59,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,516,502

LCM of Fractions 27/579,516/59,502/185 is 1165644

2 27, 516, 502
3 27, 258, 251
9, 86, 251

∴ So the LCM of the given numbers is 2 x 3 x 9 x 86 x 251 = 1165644

Least Common Multiple of 27,516,502 with GCF Formula

Least Common Multiple of 27,516,502 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 27,516,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,516,502) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(27,516,502) x common factors =1 x 6 = 6

LCM(27,516,502) = ( 27 × 516 × 502 ) / 6

LCM(27,516,502) = 6993864 / 6

LCM(27,516,502) = 1165644


Lets's calculate GCF of 579,59,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1165644/1

Therefore the LCM of Fractions 27/579,516/59,502/185 is 1165644

Greatest Common Factor of 579,59,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,59,185 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 579,59,185 . The biggest common factor number is the GCF number.
So the greatest common factor 579,59,185 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 27/579, 516/59, 502/185

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 27/579, 516/59, 502/185?

Answer: LCM of Numerators as per given numbers 27/579, 516/59, 502/185 is

LCM of Numerators i.e. for 27,516,502 is 1165644

GCF of denominators i.e. for 579,59,185 is 1.

Thus, LCM of Fractions is 1165644.Finally, LCM of Fractions for 27/579, 516/59, 502/185 is 1165644.