Least Common Multiple of 3344/208, 8792/7928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3344/208, 8792/7928 quickly i.e. 459382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3344/208, 8792/7928 is 459382.

LCM(3344/208, 8792/7928) = 459382

LCM of 3344/208, 8792/7928

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 3344/208,8792/7928

Given numbers are 3344/208,8792/7928

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 3344,8792

Least Common Multiple of Numerators i.e. LCM of 3344,8792 is 3675056.

GCF of Denominators means GCF of 208,7928 as per the given fractions.

GCF of 208,7928 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3344,8792

LCM of Fractions 3344/208,8792/7928 is 459382

2 3344, 8792
2 1672, 4396
2 836, 2198
418, 1099

∴ So the LCM of the given numbers is 2 x 2 x 2 x 418 x 1099 = 3675056

Least Common Multiple of 3344,8792 with GCF Formula

Least Common Multiple of 3344,8792 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 3344,8792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3344,8792) = 8

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

GCF(3344,8792) x common factors =8 x 1 = 8

LCM(3344,8792) = ( 3344 × 8792 ) / 8

LCM(3344,8792) = 29400448 / 8

LCM(3344,8792) = 3675056


Lets's calculate GCF of 208,7928

2 208, 7928
2 104, 3964
2 52, 1982
26, 991

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3675056/8

Therefore the LCM of Fractions 3344/208,8792/7928 is 459382

Greatest Common Factor of 208,7928 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,7928 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 7928

List of positive integer factors of 7928 that divides 7928 without a remainder.

1,2,4,8,991,1982,3964,7928

Greatest Common Factor

We found the factors 208,7928 . The biggest common factor number is the GCF number.
So the greatest common factor 208,7928 is 8.


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 3344/208, 8792/7928

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 3344/208, 8792/7928?

Answer: LCM of Numerators as per given numbers 3344/208, 8792/7928 is

LCM of Numerators i.e. for 3344,8792 is 3675056

GCF of denominators i.e. for 208,7928 is 8.

Thus, LCM of Fractions is 459382.Finally, LCM of Fractions for 3344/208, 8792/7928 is 459382.