Least Common Multiple of 716/75, 105/1821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 716/75, 105/1821 quickly i.e. 25060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 716/75, 105/1821 is 25060.

LCM(716/75, 105/1821) = 25060

LCM of 716/75, 105/1821

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 716/75,105/1821

Given numbers are 716/75,105/1821

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 716,105

Least Common Multiple of Numerators i.e. LCM of 716,105 is 75180.

GCF of Denominators means GCF of 75,1821 as per the given fractions.

GCF of 75,1821 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 716,105

LCM of Fractions 716/75,105/1821 is 25060

Given numbers has no common factors except 1. So, there LCM is their product i.e 75180

Least Common Multiple of 716,105 with GCF Formula

Least Common Multiple of 716,105 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 716,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,105) = 1

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

GCF(716,105) x common factors =1 x 1 = 1

LCM(716,105) = ( 716 × 105 ) / 1

LCM(716,105) = 75180 / 1

LCM(716,105) = 75180


Lets's calculate GCF of 75,1821

3 75, 1821
25, 607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75180/3

Therefore the LCM of Fractions 716/75,105/1821 is 25060

Greatest Common Factor of 75,1821 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,1821 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 1821

List of positive integer factors of 1821 that divides 1821 without a remainder.

1,3,607,1821

Greatest Common Factor

We found the factors 75,1821 . The biggest common factor number is the GCF number.
So the greatest common factor 75,1821 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 716/75, 105/1821

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 716/75, 105/1821?

Answer: LCM of Numerators as per given numbers 716/75, 105/1821 is

LCM of Numerators i.e. for 716,105 is 75180

GCF of denominators i.e. for 75,1821 is 3.

Thus, LCM of Fractions is 25060.Finally, LCM of Fractions for 716/75, 105/1821 is 25060.