Least Common Multiple of 234/74, 806/8083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/74, 806/8083 quickly i.e. 7254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/74, 806/8083 is 7254.

LCM(234/74, 806/8083) = 7254

LCM of 234/74, 806/8083

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 234/74,806/8083

Given numbers are 234/74,806/8083

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 234,806

Least Common Multiple of Numerators i.e. LCM of 234,806 is 7254.

GCF of Denominators means GCF of 74,8083 as per the given fractions.

GCF of 74,8083 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,806

LCM of Fractions 234/74,806/8083 is 7254

2 234, 806
13 117, 403
9, 31

∴ So the LCM of the given numbers is 2 x 13 x 9 x 31 = 7254

Least Common Multiple of 234,806 with GCF Formula

Least Common Multiple of 234,806 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 234,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,806) = 26

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

GCF(234,806) x common factors =26 x 1 = 26

LCM(234,806) = ( 234 × 806 ) / 26

LCM(234,806) = 188604 / 26

LCM(234,806) = 7254


Lets's calculate GCF of 74,8083

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7254/1

Therefore the LCM of Fractions 234/74,806/8083 is 7254

Greatest Common Factor of 74,8083 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,8083 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 8083

List of positive integer factors of 8083 that divides 8083 without a remainder.

1,59,137,8083

Greatest Common Factor

We found the factors 74,8083 . The biggest common factor number is the GCF number.
So the greatest common factor 74,8083 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 234/74, 806/8083

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 234/74, 806/8083?

Answer: LCM of Numerators as per given numbers 234/74, 806/8083 is

LCM of Numerators i.e. for 234,806 is 7254

GCF of denominators i.e. for 74,8083 is 1.

Thus, LCM of Fractions is 7254.Finally, LCM of Fractions for 234/74, 806/8083 is 7254.