Least Common Multiple of 75/182, 7779/5702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/182, 7779/5702 quickly i.e. 194475/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/182, 7779/5702 is 194475/2.

LCM(75/182, 7779/5702) = 194475/2

LCM of 75/182, 7779/5702

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 75/182,7779/5702

Given numbers are 75/182,7779/5702

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 75,7779

Least Common Multiple of Numerators i.e. LCM of 75,7779 is 194475.

GCF of Denominators means GCF of 182,5702 as per the given fractions.

GCF of 182,5702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,7779

LCM of Fractions 75/182,7779/5702 is 194475/2

3 75, 7779
25, 2593

∴ So the LCM of the given numbers is 3 x 25 x 2593 = 194475

Least Common Multiple of 75,7779 with GCF Formula

Least Common Multiple of 75,7779 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 75,7779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,7779) = 3

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

GCF(75,7779) x common factors =3 x 1 = 3

LCM(75,7779) = ( 75 × 7779 ) / 3

LCM(75,7779) = 583425 / 3

LCM(75,7779) = 194475


Lets's calculate GCF of 182,5702

2 182, 5702
91, 2851

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194475/2

Therefore the LCM of Fractions 75/182,7779/5702 is 194475/2

Greatest Common Factor of 182,5702 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,5702 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 5702

List of positive integer factors of 5702 that divides 5702 without a remainder.

1,2,2851,5702

Greatest Common Factor

We found the factors 182,5702 . The biggest common factor number is the GCF number.
So the greatest common factor 182,5702 is 2.


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 75/182, 7779/5702

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 75/182, 7779/5702?

Answer: LCM of Numerators as per given numbers 75/182, 7779/5702 is

LCM of Numerators i.e. for 75,7779 is 194475

GCF of denominators i.e. for 182,5702 is 2.

Thus, LCM of Fractions is 194475/2.Finally, LCM of Fractions for 75/182, 7779/5702 is 194475/2.