Least Common Multiple of 530/87, 795/12, 592/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/87, 795/12, 592/71 quickly i.e. 470640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/87, 795/12, 592/71 is 470640.

LCM(530/87, 795/12, 592/71) = 470640

LCM of 530/87, 795/12, 592/71

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 530/87,795/12,592/71

Given numbers are 530/87,795/12,592/71

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 530,795,592

Least Common Multiple of Numerators i.e. LCM of 530,795,592 is 470640.

GCF of Denominators means GCF of 87,12,71 as per the given fractions.

GCF of 87,12,71 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,795,592

LCM of Fractions 530/87,795/12,592/71 is 470640

2 530, 795, 592
5 265, 795, 296
53 53, 159, 296
1, 3, 296

∴ So the LCM of the given numbers is 2 x 5 x 53 x 1 x 3 x 296 = 470640

Least Common Multiple of 530,795,592 with GCF Formula

Least Common Multiple of 530,795,592 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 530,795,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,795,592) = 1

common factors(in case of two or more numbers have common factors) = 530

GCF(530,795,592) x common factors =1 x 530 = 530

LCM(530,795,592) = ( 530 × 795 × 592 ) / 530

LCM(530,795,592) = 249439200 / 530

LCM(530,795,592) = 470640


Lets's calculate GCF of 87,12,71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 470640/1

Therefore the LCM of Fractions 530/87,795/12,592/71 is 470640

Greatest Common Factor of 87,12,71 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,12,71 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Greatest Common Factor

We found the factors 87,12,71 . The biggest common factor number is the GCF number.
So the greatest common factor 87,12,71 is 1.


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 530/87, 795/12, 592/71

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 530/87, 795/12, 592/71?

Answer: LCM of Numerators as per given numbers 530/87, 795/12, 592/71 is

LCM of Numerators i.e. for 530,795,592 is 470640

GCF of denominators i.e. for 87,12,71 is 1.

Thus, LCM of Fractions is 470640.Finally, LCM of Fractions for 530/87, 795/12, 592/71 is 470640.