Least Common Multiple of 71/789, 115/852, 897/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/789, 115/852, 897/300 quickly i.e. 106145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/789, 115/852, 897/300 is 106145.

LCM(71/789, 115/852, 897/300) = 106145

LCM of 71/789, 115/852, 897/300

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 71/789,115/852,897/300

Given numbers are 71/789,115/852,897/300

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 71,115,897

Least Common Multiple of Numerators i.e. LCM of 71,115,897 is 318435.

GCF of Denominators means GCF of 789,852,300 as per the given fractions.

GCF of 789,852,300 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,115,897

LCM of Fractions 71/789,115/852,897/300 is 106145

23 71, 115, 897
71, 5, 39

∴ So the LCM of the given numbers is 23 x 71 x 5 x 39 = 318435

Least Common Multiple of 71,115,897 with GCF Formula

Least Common Multiple of 71,115,897 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 71,115,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,115,897) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(71,115,897) x common factors =1 x 23 = 23

LCM(71,115,897) = ( 71 × 115 × 897 ) / 23

LCM(71,115,897) = 7324005 / 23

LCM(71,115,897) = 318435


Lets's calculate GCF of 789,852,300

3 789, 852, 300
263, 284, 100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 318435/3

Therefore the LCM of Fractions 71/789,115/852,897/300 is 106145

Greatest Common Factor of 789,852,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,852,300 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 789,852,300 . The biggest common factor number is the GCF number.
So the greatest common factor 789,852,300 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 71/789, 115/852, 897/300

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 71/789, 115/852, 897/300?

Answer: LCM of Numerators as per given numbers 71/789, 115/852, 897/300 is

LCM of Numerators i.e. for 71,115,897 is 318435

GCF of denominators i.e. for 789,852,300 is 3.

Thus, LCM of Fractions is 106145.Finally, LCM of Fractions for 71/789, 115/852, 897/300 is 106145.