Least Common Multiple of 821/39, 926/7254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/39, 926/7254 quickly i.e. 760246/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/39, 926/7254 is 760246/39.

LCM(821/39, 926/7254) = 760246/39

LCM of 821/39, 926/7254

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 821/39,926/7254

Given numbers are 821/39,926/7254

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 821,926

Least Common Multiple of Numerators i.e. LCM of 821,926 is 760246.

GCF of Denominators means GCF of 39,7254 as per the given fractions.

GCF of 39,7254 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,926

LCM of Fractions 821/39,926/7254 is 760246/39

Given numbers has no common factors except 1. So, there LCM is their product i.e 760246

Least Common Multiple of 821,926 with GCF Formula

Least Common Multiple of 821,926 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 821,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,926) = 1

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

GCF(821,926) x common factors =1 x 1 = 1

LCM(821,926) = ( 821 × 926 ) / 1

LCM(821,926) = 760246 / 1

LCM(821,926) = 760246


Lets's calculate GCF of 39,7254

3 39, 7254
13 13, 2418
1, 186

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 760246/39

Therefore the LCM of Fractions 821/39,926/7254 is 760246/39

Greatest Common Factor of 39,7254 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,7254 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 7254

List of positive integer factors of 7254 that divides 7254 without a remainder.

1,2,3,6,9,13,18,26,31,39,62,78,93,117,186,234,279,403,558,806,1209,2418,3627,7254

Greatest Common Factor

We found the factors 39,7254 . The biggest common factor number is the GCF number.
So the greatest common factor 39,7254 is 39.


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 821/39, 926/7254

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 821/39, 926/7254?

Answer: LCM of Numerators as per given numbers 821/39, 926/7254 is

LCM of Numerators i.e. for 821,926 is 760246

GCF of denominators i.e. for 39,7254 is 39.

Thus, LCM of Fractions is 760246/39.Finally, LCM of Fractions for 821/39, 926/7254 is 760246/39.