Least Common Multiple of 580/51, 857/90, 702/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 580/51, 857/90, 702/927 quickly i.e. 58156020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/51, 857/90, 702/927 is 58156020.

LCM(580/51, 857/90, 702/927) = 58156020

LCM of 580/51, 857/90, 702/927

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 580/51,857/90,702/927

Given numbers are 580/51,857/90,702/927

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 580,857,702

Least Common Multiple of Numerators i.e. LCM of 580,857,702 is 174468060.

GCF of Denominators means GCF of 51,90,927 as per the given fractions.

GCF of 51,90,927 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,857,702

LCM of Fractions 580/51,857/90,702/927 is 58156020

2 580, 857, 702
290, 857, 351

∴ So the LCM of the given numbers is 2 x 290 x 857 x 351 = 174468060

Least Common Multiple of 580,857,702 with GCF Formula

Least Common Multiple of 580,857,702 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 580,857,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,857,702) = 1

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

GCF(580,857,702) x common factors =1 x 2 = 2

LCM(580,857,702) = ( 580 × 857 × 702 ) / 2

LCM(580,857,702) = 348936120 / 2

LCM(580,857,702) = 174468060


Lets's calculate GCF of 51,90,927

3 51, 90, 927
17, 30, 309

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174468060/3

Therefore the LCM of Fractions 580/51,857/90,702/927 is 58156020

Greatest Common Factor of 51,90,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,90,927 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

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 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Greatest Common Factor

We found the factors 51,90,927 . The biggest common factor number is the GCF number.
So the greatest common factor 51,90,927 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 580/51, 857/90, 702/927

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 580/51, 857/90, 702/927?

Answer: LCM of Numerators as per given numbers 580/51, 857/90, 702/927 is

LCM of Numerators i.e. for 580,857,702 is 174468060

GCF of denominators i.e. for 51,90,927 is 3.

Thus, LCM of Fractions is 58156020.Finally, LCM of Fractions for 580/51, 857/90, 702/927 is 58156020.