Least Common Multiple of 289/92, 471/7995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/92, 471/7995 quickly i.e. 136119 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/92, 471/7995 is 136119.

LCM(289/92, 471/7995) = 136119

LCM of 289/92, 471/7995

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 289/92,471/7995

Given numbers are 289/92,471/7995

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 289,471

Least Common Multiple of Numerators i.e. LCM of 289,471 is 136119.

GCF of Denominators means GCF of 92,7995 as per the given fractions.

GCF of 92,7995 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,471

LCM of Fractions 289/92,471/7995 is 136119

Given numbers has no common factors except 1. So, there LCM is their product i.e 136119

Least Common Multiple of 289,471 with GCF Formula

Least Common Multiple of 289,471 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 289,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,471) = 1

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

GCF(289,471) x common factors =1 x 1 = 1

LCM(289,471) = ( 289 × 471 ) / 1

LCM(289,471) = 136119 / 1

LCM(289,471) = 136119


Lets's calculate GCF of 92,7995

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136119/1

Therefore the LCM of Fractions 289/92,471/7995 is 136119

Greatest Common Factor of 92,7995 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,7995 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 7995

List of positive integer factors of 7995 that divides 7995 without a remainder.

1,3,5,13,15,39,41,65,123,195,205,533,615,1599,2665,7995

Greatest Common Factor

We found the factors 92,7995 . The biggest common factor number is the GCF number.
So the greatest common factor 92,7995 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 289/92, 471/7995

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 289/92, 471/7995?

Answer: LCM of Numerators as per given numbers 289/92, 471/7995 is

LCM of Numerators i.e. for 289,471 is 136119

GCF of denominators i.e. for 92,7995 is 1.

Thus, LCM of Fractions is 136119.Finally, LCM of Fractions for 289/92, 471/7995 is 136119.