Least Common Multiple of 71/915, 27/847, 852/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/915, 27/847, 852/810 quickly i.e. 7668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/915, 27/847, 852/810 is 7668.

LCM(71/915, 27/847, 852/810) = 7668

LCM of 71/915, 27/847, 852/810

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 71/915,27/847,852/810

Given numbers are 71/915,27/847,852/810

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 71,27,852

Least Common Multiple of Numerators i.e. LCM of 71,27,852 is 7668.

GCF of Denominators means GCF of 915,847,810 as per the given fractions.

GCF of 915,847,810 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,27,852

LCM of Fractions 71/915,27/847,852/810 is 7668

3 71, 27, 852
71 71, 9, 284
1, 9, 4

∴ So the LCM of the given numbers is 3 x 71 x 1 x 9 x 4 = 7668

Least Common Multiple of 71,27,852 with GCF Formula

Least Common Multiple of 71,27,852 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 71,27,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,27,852) = 1

common factors(in case of two or more numbers have common factors) = 213

GCF(71,27,852) x common factors =1 x 213 = 213

LCM(71,27,852) = ( 71 × 27 × 852 ) / 213

LCM(71,27,852) = 1633284 / 213

LCM(71,27,852) = 7668


Lets's calculate GCF of 915,847,810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7668/1

Therefore the LCM of Fractions 71/915,27/847,852/810 is 7668

Greatest Common Factor of 915,847,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,847,810 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 915,847,810 . The biggest common factor number is the GCF number.
So the greatest common factor 915,847,810 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 71/915, 27/847, 852/810

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 71/915, 27/847, 852/810?

Answer: LCM of Numerators as per given numbers 71/915, 27/847, 852/810 is

LCM of Numerators i.e. for 71,27,852 is 7668

GCF of denominators i.e. for 915,847,810 is 1.

Thus, LCM of Fractions is 7668.Finally, LCM of Fractions for 71/915, 27/847, 852/810 is 7668.