Least Common Multiple of 39/967, 99/784, 112/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/967, 99/784, 112/675 quickly i.e. 144144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/967, 99/784, 112/675 is 144144.

LCM(39/967, 99/784, 112/675) = 144144

LCM of 39/967, 99/784, 112/675

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 39/967,99/784,112/675

Given numbers are 39/967,99/784,112/675

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 39,99,112

Least Common Multiple of Numerators i.e. LCM of 39,99,112 is 144144.

GCF of Denominators means GCF of 967,784,675 as per the given fractions.

GCF of 967,784,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,99,112

LCM of Fractions 39/967,99/784,112/675 is 144144

3 39, 99, 112
13, 33, 112

∴ So the LCM of the given numbers is 3 x 13 x 33 x 112 = 144144

Least Common Multiple of 39,99,112 with GCF Formula

Least Common Multiple of 39,99,112 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 39,99,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,99,112) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,99,112) x common factors =1 x 3 = 3

LCM(39,99,112) = ( 39 × 99 × 112 ) / 3

LCM(39,99,112) = 432432 / 3

LCM(39,99,112) = 144144


Lets's calculate GCF of 967,784,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144144/1

Therefore the LCM of Fractions 39/967,99/784,112/675 is 144144

Greatest Common Factor of 967,784,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,784,675 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 967,784,675 . The biggest common factor number is the GCF number.
So the greatest common factor 967,784,675 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 39/967, 99/784, 112/675

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 39/967, 99/784, 112/675?

Answer: LCM of Numerators as per given numbers 39/967, 99/784, 112/675 is

LCM of Numerators i.e. for 39,99,112 is 144144

GCF of denominators i.e. for 967,784,675 is 1.

Thus, LCM of Fractions is 144144.Finally, LCM of Fractions for 39/967, 99/784, 112/675 is 144144.