Least Common Multiple of 43/814, 4923/4097

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/814, 4923/4097 quickly i.e. 211689 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/814, 4923/4097 is 211689.

LCM(43/814, 4923/4097) = 211689

LCM of 43/814, 4923/4097

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 43/814,4923/4097

Given numbers are 43/814,4923/4097

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 43,4923

Least Common Multiple of Numerators i.e. LCM of 43,4923 is 211689.

GCF of Denominators means GCF of 814,4097 as per the given fractions.

GCF of 814,4097 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,4923

LCM of Fractions 43/814,4923/4097 is 211689

Given numbers has no common factors except 1. So, there LCM is their product i.e 211689

Least Common Multiple of 43,4923 with GCF Formula

Least Common Multiple of 43,4923 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 43,4923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,4923) = 1

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

GCF(43,4923) x common factors =1 x 1 = 1

LCM(43,4923) = ( 43 × 4923 ) / 1

LCM(43,4923) = 211689 / 1

LCM(43,4923) = 211689


Lets's calculate GCF of 814,4097

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211689/1

Therefore the LCM of Fractions 43/814,4923/4097 is 211689

Greatest Common Factor of 814,4097 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,4097 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 4097

List of positive integer factors of 4097 that divides 4097 without a remainder.

1,17,241,4097

Greatest Common Factor

We found the factors 814,4097 . The biggest common factor number is the GCF number.
So the greatest common factor 814,4097 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 43/814, 4923/4097

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 43/814, 4923/4097?

Answer: LCM of Numerators as per given numbers 43/814, 4923/4097 is

LCM of Numerators i.e. for 43,4923 is 211689

GCF of denominators i.e. for 814,4097 is 1.

Thus, LCM of Fractions is 211689.Finally, LCM of Fractions for 43/814, 4923/4097 is 211689.