Least Common Multiple of 585/386, 773/130, 525/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 585/386, 773/130, 525/287 quickly i.e. 15827175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/386, 773/130, 525/287 is 15827175.

LCM(585/386, 773/130, 525/287) = 15827175

LCM of 585/386, 773/130, 525/287

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 585/386,773/130,525/287

Given numbers are 585/386,773/130,525/287

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 585,773,525

Least Common Multiple of Numerators i.e. LCM of 585,773,525 is 15827175.

GCF of Denominators means GCF of 386,130,287 as per the given fractions.

GCF of 386,130,287 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,773,525

LCM of Fractions 585/386,773/130,525/287 is 15827175

3 585, 773, 525
5 195, 773, 175
39, 773, 35

∴ So the LCM of the given numbers is 3 x 5 x 39 x 773 x 35 = 15827175

Least Common Multiple of 585,773,525 with GCF Formula

Least Common Multiple of 585,773,525 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 585,773,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,773,525) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(585,773,525) x common factors =1 x 15 = 15

LCM(585,773,525) = ( 585 × 773 × 525 ) / 15

LCM(585,773,525) = 237407625 / 15

LCM(585,773,525) = 15827175


Lets's calculate GCF of 386,130,287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15827175/1

Therefore the LCM of Fractions 585/386,773/130,525/287 is 15827175

Greatest Common Factor of 386,130,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,130,287 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors 386,130,287 . The biggest common factor number is the GCF number.
So the greatest common factor 386,130,287 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 585/386, 773/130, 525/287

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 585/386, 773/130, 525/287?

Answer: LCM of Numerators as per given numbers 585/386, 773/130, 525/287 is

LCM of Numerators i.e. for 585,773,525 is 15827175

GCF of denominators i.e. for 386,130,287 is 1.

Thus, LCM of Fractions is 15827175.Finally, LCM of Fractions for 585/386, 773/130, 525/287 is 15827175.