Least Common Multiple of 75/155, 89/727, 992/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/155, 89/727, 992/191 quickly i.e. 6621600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/155, 89/727, 992/191 is 6621600.

LCM(75/155, 89/727, 992/191) = 6621600

LCM of 75/155, 89/727, 992/191

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 75/155,89/727,992/191

Given numbers are 75/155,89/727,992/191

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 75,89,992

Least Common Multiple of Numerators i.e. LCM of 75,89,992 is 6621600.

GCF of Denominators means GCF of 155,727,191 as per the given fractions.

GCF of 155,727,191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,89,992

LCM of Fractions 75/155,89/727,992/191 is 6621600

Given numbers has no common factors except 1. So, there LCM is their product i.e 6621600

Least Common Multiple of 75,89,992 with GCF Formula

Least Common Multiple of 75,89,992 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 75,89,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,89,992) = 1

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

GCF(75,89,992) x common factors =1 x 1 = 1

LCM(75,89,992) = ( 75 × 89 × 992 ) / 1

LCM(75,89,992) = 6621600 / 1

LCM(75,89,992) = 6621600


Lets's calculate GCF of 155,727,191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6621600/1

Therefore the LCM of Fractions 75/155,89/727,992/191 is 6621600

Greatest Common Factor of 155,727,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 155,727,191 By Matching Biggest Common Factor Method

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 155,727,191 . The biggest common factor number is the GCF number.
So the greatest common factor 155,727,191 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 75/155, 89/727, 992/191

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 75/155, 89/727, 992/191?

Answer: LCM of Numerators as per given numbers 75/155, 89/727, 992/191 is

LCM of Numerators i.e. for 75,89,992 is 6621600

GCF of denominators i.e. for 155,727,191 is 1.

Thus, LCM of Fractions is 6621600.Finally, LCM of Fractions for 75/155, 89/727, 992/191 is 6621600.