Least Common Multiple of 509/57, 482/75, 710/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/57, 482/75, 710/525 quickly i.e. 87094990/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/57, 482/75, 710/525 is 87094990/3.

LCM(509/57, 482/75, 710/525) = 87094990/3

LCM of 509/57, 482/75, 710/525

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 509/57,482/75,710/525

Given numbers are 509/57,482/75,710/525

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 509,482,710

Least Common Multiple of Numerators i.e. LCM of 509,482,710 is 87094990.

GCF of Denominators means GCF of 57,75,525 as per the given fractions.

GCF of 57,75,525 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,482,710

LCM of Fractions 509/57,482/75,710/525 is 87094990/3

2 509, 482, 710
509, 241, 355

∴ So the LCM of the given numbers is 2 x 509 x 241 x 355 = 87094990

Least Common Multiple of 509,482,710 with GCF Formula

Least Common Multiple of 509,482,710 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 509,482,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,482,710) = 1

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

GCF(509,482,710) x common factors =1 x 2 = 2

LCM(509,482,710) = ( 509 × 482 × 710 ) / 2

LCM(509,482,710) = 174189980 / 2

LCM(509,482,710) = 87094990


Lets's calculate GCF of 57,75,525

3 57, 75, 525
19, 25, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87094990/3

Therefore the LCM of Fractions 509/57,482/75,710/525 is 87094990/3

Greatest Common Factor of 57,75,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,75,525 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 57,75,525 . The biggest common factor number is the GCF number.
So the greatest common factor 57,75,525 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 509/57, 482/75, 710/525

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 509/57, 482/75, 710/525?

Answer: LCM of Numerators as per given numbers 509/57, 482/75, 710/525 is

LCM of Numerators i.e. for 509,482,710 is 87094990

GCF of denominators i.e. for 57,75,525 is 3.

Thus, LCM of Fractions is 87094990/3.Finally, LCM of Fractions for 509/57, 482/75, 710/525 is 87094990/3.