Least Common Multiple of 7828/32, 8317/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7828/32, 8317/626 quickly i.e. 32552738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7828/32, 8317/626 is 32552738.

LCM(7828/32, 8317/626) = 32552738

LCM of 7828/32, 8317/626

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 7828/32,8317/626

Given numbers are 7828/32,8317/626

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 7828,8317

Least Common Multiple of Numerators i.e. LCM of 7828,8317 is 65105476.

GCF of Denominators means GCF of 32,626 as per the given fractions.

GCF of 32,626 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7828,8317

LCM of Fractions 7828/32,8317/626 is 32552738

Given numbers has no common factors except 1. So, there LCM is their product i.e 65105476

Least Common Multiple of 7828,8317 with GCF Formula

Least Common Multiple of 7828,8317 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 7828,8317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7828,8317) = 1

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

GCF(7828,8317) x common factors =1 x 1 = 1

LCM(7828,8317) = ( 7828 × 8317 ) / 1

LCM(7828,8317) = 65105476 / 1

LCM(7828,8317) = 65105476


Lets's calculate GCF of 32,626

2 32, 626
16, 313

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65105476/2

Therefore the LCM of Fractions 7828/32,8317/626 is 32552738

Greatest Common Factor of 32,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,626 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 32,626 . The biggest common factor number is the GCF number.
So the greatest common factor 32,626 is 2.


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 7828/32, 8317/626

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 7828/32, 8317/626?

Answer: LCM of Numerators as per given numbers 7828/32, 8317/626 is

LCM of Numerators i.e. for 7828,8317 is 65105476

GCF of denominators i.e. for 32,626 is 2.

Thus, LCM of Fractions is 32552738.Finally, LCM of Fractions for 7828/32, 8317/626 is 32552738.