Least Common Multiple of 570/39, 762/9489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 570/39, 762/9489 quickly i.e. 24130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 570/39, 762/9489 is 24130.

LCM(570/39, 762/9489) = 24130

LCM of 570/39, 762/9489

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 570/39,762/9489

Given numbers are 570/39,762/9489

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 570,762

Least Common Multiple of Numerators i.e. LCM of 570,762 is 72390.

GCF of Denominators means GCF of 39,9489 as per the given fractions.

GCF of 39,9489 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 570,762

LCM of Fractions 570/39,762/9489 is 24130

2 570, 762
3 285, 381
95, 127

∴ So the LCM of the given numbers is 2 x 3 x 95 x 127 = 72390

Least Common Multiple of 570,762 with GCF Formula

Least Common Multiple of 570,762 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 570,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,762) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(570,762) x common factors =6 x 1 = 6

LCM(570,762) = ( 570 × 762 ) / 6

LCM(570,762) = 434340 / 6

LCM(570,762) = 72390


Lets's calculate GCF of 39,9489

3 39, 9489
13, 3163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72390/3

Therefore the LCM of Fractions 570/39,762/9489 is 24130

Greatest Common Factor of 39,9489 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,9489 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 9489

List of positive integer factors of 9489 that divides 9489 without a remainder.

1,3,3163,9489

Greatest Common Factor

We found the factors 39,9489 . The biggest common factor number is the GCF number.
So the greatest common factor 39,9489 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 570/39, 762/9489

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 570/39, 762/9489?

Answer: LCM of Numerators as per given numbers 570/39, 762/9489 is

LCM of Numerators i.e. for 570,762 is 72390

GCF of denominators i.e. for 39,9489 is 3.

Thus, LCM of Fractions is 24130.Finally, LCM of Fractions for 570/39, 762/9489 is 24130.