Least Common Multiple of 83/692, 4081/4943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/692, 4081/4943 quickly i.e. 338723 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/692, 4081/4943 is 338723.

LCM(83/692, 4081/4943) = 338723

LCM of 83/692, 4081/4943

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 83/692,4081/4943

Given numbers are 83/692,4081/4943

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 83,4081

Least Common Multiple of Numerators i.e. LCM of 83,4081 is 338723.

GCF of Denominators means GCF of 692,4943 as per the given fractions.

GCF of 692,4943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,4081

LCM of Fractions 83/692,4081/4943 is 338723

Given numbers has no common factors except 1. So, there LCM is their product i.e 338723

Least Common Multiple of 83,4081 with GCF Formula

Least Common Multiple of 83,4081 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 83,4081 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,4081) = 1

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

GCF(83,4081) x common factors =1 x 1 = 1

LCM(83,4081) = ( 83 × 4081 ) / 1

LCM(83,4081) = 338723 / 1

LCM(83,4081) = 338723


Lets's calculate GCF of 692,4943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338723/1

Therefore the LCM of Fractions 83/692,4081/4943 is 338723

Greatest Common Factor of 692,4943 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,4943 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 4943

List of positive integer factors of 4943 that divides 4943 without a remainder.

1,4943

Greatest Common Factor

We found the factors 692,4943 . The biggest common factor number is the GCF number.
So the greatest common factor 692,4943 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/692, 4081/4943

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 83/692, 4081/4943?

Answer: LCM of Numerators as per given numbers 83/692, 4081/4943 is

LCM of Numerators i.e. for 83,4081 is 338723

GCF of denominators i.e. for 692,4943 is 1.

Thus, LCM of Fractions is 338723.Finally, LCM of Fractions for 83/692, 4081/4943 is 338723.