Least Common Multiple of 8914/389, 3714/4981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8914/389, 3714/4981 quickly i.e. 16553298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8914/389, 3714/4981 is 16553298.

LCM(8914/389, 3714/4981) = 16553298

LCM of 8914/389, 3714/4981

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 8914/389,3714/4981

Given numbers are 8914/389,3714/4981

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 8914,3714

Least Common Multiple of Numerators i.e. LCM of 8914,3714 is 16553298.

GCF of Denominators means GCF of 389,4981 as per the given fractions.

GCF of 389,4981 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8914,3714

LCM of Fractions 8914/389,3714/4981 is 16553298

2 8914, 3714
4457, 1857

∴ So the LCM of the given numbers is 2 x 4457 x 1857 = 16553298

Least Common Multiple of 8914,3714 with GCF Formula

Least Common Multiple of 8914,3714 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 8914,3714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8914,3714) = 2

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

GCF(8914,3714) x common factors =2 x 1 = 2

LCM(8914,3714) = ( 8914 × 3714 ) / 2

LCM(8914,3714) = 33106596 / 2

LCM(8914,3714) = 16553298


Lets's calculate GCF of 389,4981

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16553298/1

Therefore the LCM of Fractions 8914/389,3714/4981 is 16553298

Greatest Common Factor of 389,4981 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,4981 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 4981

List of positive integer factors of 4981 that divides 4981 without a remainder.

1,17,293,4981

Greatest Common Factor

We found the factors 389,4981 . The biggest common factor number is the GCF number.
So the greatest common factor 389,4981 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 8914/389, 3714/4981

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 8914/389, 3714/4981?

Answer: LCM of Numerators as per given numbers 8914/389, 3714/4981 is

LCM of Numerators i.e. for 8914,3714 is 16553298

GCF of denominators i.e. for 389,4981 is 1.

Thus, LCM of Fractions is 16553298.Finally, LCM of Fractions for 8914/389, 3714/4981 is 16553298.