Least Common Multiple of 73/112, 675/599, 107/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/112, 675/599, 107/716 quickly i.e. 5272425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/112, 675/599, 107/716 is 5272425.

LCM(73/112, 675/599, 107/716) = 5272425

LCM of 73/112, 675/599, 107/716

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 73/112,675/599,107/716

Given numbers are 73/112,675/599,107/716

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 73,675,107

Least Common Multiple of Numerators i.e. LCM of 73,675,107 is 5272425.

GCF of Denominators means GCF of 112,599,716 as per the given fractions.

GCF of 112,599,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,675,107

LCM of Fractions 73/112,675/599,107/716 is 5272425

Given numbers has no common factors except 1. So, there LCM is their product i.e 5272425

Least Common Multiple of 73,675,107 with GCF Formula

Least Common Multiple of 73,675,107 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 73,675,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,675,107) = 1

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

GCF(73,675,107) x common factors =1 x 1 = 1

LCM(73,675,107) = ( 73 × 675 × 107 ) / 1

LCM(73,675,107) = 5272425 / 1

LCM(73,675,107) = 5272425


Lets's calculate GCF of 112,599,716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5272425/1

Therefore the LCM of Fractions 73/112,675/599,107/716 is 5272425

Greatest Common Factor of 112,599,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,599,716 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 112,599,716 . The biggest common factor number is the GCF number.
So the greatest common factor 112,599,716 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 73/112, 675/599, 107/716

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 73/112, 675/599, 107/716?

Answer: LCM of Numerators as per given numbers 73/112, 675/599, 107/716 is

LCM of Numerators i.e. for 73,675,107 is 5272425

GCF of denominators i.e. for 112,599,716 is 1.

Thus, LCM of Fractions is 5272425.Finally, LCM of Fractions for 73/112, 675/599, 107/716 is 5272425.