Least Common Multiple of 9414/491, 4082/7966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9414/491, 4082/7966 quickly i.e. 19213974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9414/491, 4082/7966 is 19213974.

LCM(9414/491, 4082/7966) = 19213974

LCM of 9414/491, 4082/7966

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 9414/491,4082/7966

Given numbers are 9414/491,4082/7966

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 9414,4082

Least Common Multiple of Numerators i.e. LCM of 9414,4082 is 19213974.

GCF of Denominators means GCF of 491,7966 as per the given fractions.

GCF of 491,7966 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9414,4082

LCM of Fractions 9414/491,4082/7966 is 19213974

2 9414, 4082
4707, 2041

∴ So the LCM of the given numbers is 2 x 4707 x 2041 = 19213974

Least Common Multiple of 9414,4082 with GCF Formula

Least Common Multiple of 9414,4082 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 9414,4082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9414,4082) = 2

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

GCF(9414,4082) x common factors =2 x 1 = 2

LCM(9414,4082) = ( 9414 × 4082 ) / 2

LCM(9414,4082) = 38427948 / 2

LCM(9414,4082) = 19213974


Lets's calculate GCF of 491,7966

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19213974/1

Therefore the LCM of Fractions 9414/491,4082/7966 is 19213974

Greatest Common Factor of 491,7966 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,7966 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 7966

List of positive integer factors of 7966 that divides 7966 without a remainder.

1,2,7,14,569,1138,3983,7966

Greatest Common Factor

We found the factors 491,7966 . The biggest common factor number is the GCF number.
So the greatest common factor 491,7966 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 9414/491, 4082/7966

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 9414/491, 4082/7966?

Answer: LCM of Numerators as per given numbers 9414/491, 4082/7966 is

LCM of Numerators i.e. for 9414,4082 is 19213974

GCF of denominators i.e. for 491,7966 is 1.

Thus, LCM of Fractions is 19213974.Finally, LCM of Fractions for 9414/491, 4082/7966 is 19213974.