Least Common Multiple of 491/15, 992/4195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/15, 992/4195 quickly i.e. 487072/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/15, 992/4195 is 487072/5.

LCM(491/15, 992/4195) = 487072/5

LCM of 491/15, 992/4195

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 491/15,992/4195

Given numbers are 491/15,992/4195

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 491,992

Least Common Multiple of Numerators i.e. LCM of 491,992 is 487072.

GCF of Denominators means GCF of 15,4195 as per the given fractions.

GCF of 15,4195 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,992

LCM of Fractions 491/15,992/4195 is 487072/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 487072

Least Common Multiple of 491,992 with GCF Formula

Least Common Multiple of 491,992 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 491,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,992) = 1

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

GCF(491,992) x common factors =1 x 1 = 1

LCM(491,992) = ( 491 × 992 ) / 1

LCM(491,992) = 487072 / 1

LCM(491,992) = 487072


Lets's calculate GCF of 15,4195

5 15, 4195
3, 839

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 487072/5

Therefore the LCM of Fractions 491/15,992/4195 is 487072/5

Greatest Common Factor of 15,4195 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,4195 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 4195

List of positive integer factors of 4195 that divides 4195 without a remainder.

1,5,839,4195

Greatest Common Factor

We found the factors 15,4195 . The biggest common factor number is the GCF number.
So the greatest common factor 15,4195 is 5.


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 491/15, 992/4195

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 491/15, 992/4195?

Answer: LCM of Numerators as per given numbers 491/15, 992/4195 is

LCM of Numerators i.e. for 491,992 is 487072

GCF of denominators i.e. for 15,4195 is 5.

Thus, LCM of Fractions is 487072/5.Finally, LCM of Fractions for 491/15, 992/4195 is 487072/5.