Least Common Multiple of 1981/832, 7414/8189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1981/832, 7414/8189 quickly i.e. 14687134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1981/832, 7414/8189 is 14687134.

LCM(1981/832, 7414/8189) = 14687134

LCM of 1981/832, 7414/8189

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 1981/832,7414/8189

Given numbers are 1981/832,7414/8189

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 1981,7414

Least Common Multiple of Numerators i.e. LCM of 1981,7414 is 14687134.

GCF of Denominators means GCF of 832,8189 as per the given fractions.

GCF of 832,8189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1981,7414

LCM of Fractions 1981/832,7414/8189 is 14687134

Given numbers has no common factors except 1. So, there LCM is their product i.e 14687134

Least Common Multiple of 1981,7414 with GCF Formula

Least Common Multiple of 1981,7414 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 1981,7414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1981,7414) = 1

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

GCF(1981,7414) x common factors =1 x 1 = 1

LCM(1981,7414) = ( 1981 × 7414 ) / 1

LCM(1981,7414) = 14687134 / 1

LCM(1981,7414) = 14687134


Lets's calculate GCF of 832,8189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14687134/1

Therefore the LCM of Fractions 1981/832,7414/8189 is 14687134

Greatest Common Factor of 832,8189 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,8189 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 8189

List of positive integer factors of 8189 that divides 8189 without a remainder.

1,19,431,8189

Greatest Common Factor

We found the factors 832,8189 . The biggest common factor number is the GCF number.
So the greatest common factor 832,8189 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 1981/832, 7414/8189

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 1981/832, 7414/8189?

Answer: LCM of Numerators as per given numbers 1981/832, 7414/8189 is

LCM of Numerators i.e. for 1981,7414 is 14687134

GCF of denominators i.e. for 832,8189 is 1.

Thus, LCM of Fractions is 14687134.Finally, LCM of Fractions for 1981/832, 7414/8189 is 14687134.