Least Common Multiple of 75/878, 84/673, 723/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/878, 84/673, 723/698 quickly i.e. 506100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/878, 84/673, 723/698 is 506100.

LCM(75/878, 84/673, 723/698) = 506100

LCM of 75/878, 84/673, 723/698

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 75/878,84/673,723/698

Given numbers are 75/878,84/673,723/698

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 75,84,723

Least Common Multiple of Numerators i.e. LCM of 75,84,723 is 506100.

GCF of Denominators means GCF of 878,673,698 as per the given fractions.

GCF of 878,673,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,84,723

LCM of Fractions 75/878,84/673,723/698 is 506100

3 75, 84, 723
25, 28, 241

∴ So the LCM of the given numbers is 3 x 25 x 28 x 241 = 506100

Least Common Multiple of 75,84,723 with GCF Formula

Least Common Multiple of 75,84,723 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 75,84,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,84,723) = 3

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

GCF(75,84,723) x common factors =3 x 3 = 9

LCM(75,84,723) = ( 75 × 84 × 723 ) / 9

LCM(75,84,723) = 4554900 / 9

LCM(75,84,723) = 506100


Lets's calculate GCF of 878,673,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 506100/1

Therefore the LCM of Fractions 75/878,84/673,723/698 is 506100

Greatest Common Factor of 878,673,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,673,698 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 878,673,698 . The biggest common factor number is the GCF number.
So the greatest common factor 878,673,698 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 75/878, 84/673, 723/698

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 75/878, 84/673, 723/698?

Answer: LCM of Numerators as per given numbers 75/878, 84/673, 723/698 is

LCM of Numerators i.e. for 75,84,723 is 506100

GCF of denominators i.e. for 878,673,698 is 1.

Thus, LCM of Fractions is 506100.Finally, LCM of Fractions for 75/878, 84/673, 723/698 is 506100.