Least Common Multiple of 7768/320, 8628/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7768/320, 8628/833 quickly i.e. 16755576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7768/320, 8628/833 is 16755576.

LCM(7768/320, 8628/833) = 16755576

LCM of 7768/320, 8628/833

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 7768/320,8628/833

Given numbers are 7768/320,8628/833

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 7768,8628

Least Common Multiple of Numerators i.e. LCM of 7768,8628 is 16755576.

GCF of Denominators means GCF of 320,833 as per the given fractions.

GCF of 320,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7768,8628

LCM of Fractions 7768/320,8628/833 is 16755576

2 7768, 8628
2 3884, 4314
1942, 2157

∴ So the LCM of the given numbers is 2 x 2 x 1942 x 2157 = 16755576

Least Common Multiple of 7768,8628 with GCF Formula

Least Common Multiple of 7768,8628 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 7768,8628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7768,8628) = 4

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

GCF(7768,8628) x common factors =4 x 1 = 4

LCM(7768,8628) = ( 7768 × 8628 ) / 4

LCM(7768,8628) = 67022304 / 4

LCM(7768,8628) = 16755576


Lets's calculate GCF of 320,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16755576/1

Therefore the LCM of Fractions 7768/320,8628/833 is 16755576

Greatest Common Factor of 320,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,833 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 320,833 . The biggest common factor number is the GCF number.
So the greatest common factor 320,833 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 7768/320, 8628/833

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 7768/320, 8628/833?

Answer: LCM of Numerators as per given numbers 7768/320, 8628/833 is

LCM of Numerators i.e. for 7768,8628 is 16755576

GCF of denominators i.e. for 320,833 is 1.

Thus, LCM of Fractions is 16755576.Finally, LCM of Fractions for 7768/320, 8628/833 is 16755576.