Least Common Multiple of 79/638, 7754/8352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/638, 7754/8352 quickly i.e. 612566/58 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/638, 7754/8352 is 612566/58.

LCM(79/638, 7754/8352) = 612566/58

LCM of 79/638, 7754/8352

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 79/638,7754/8352

Given numbers are 79/638,7754/8352

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 79,7754

Least Common Multiple of Numerators i.e. LCM of 79,7754 is 612566.

GCF of Denominators means GCF of 638,8352 as per the given fractions.

GCF of 638,8352 is 58 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,7754

LCM of Fractions 79/638,7754/8352 is 612566/58

Given numbers has no common factors except 1. So, there LCM is their product i.e 612566

Least Common Multiple of 79,7754 with GCF Formula

Least Common Multiple of 79,7754 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 79,7754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,7754) = 1

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

GCF(79,7754) x common factors =1 x 1 = 1

LCM(79,7754) = ( 79 × 7754 ) / 1

LCM(79,7754) = 612566 / 1

LCM(79,7754) = 612566


Lets's calculate GCF of 638,8352

2 638, 8352
29 319, 4176
11, 144

∴ So the GCF of the given numbers is 2 x 29 = 58

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 612566/58

Therefore the LCM of Fractions 79/638,7754/8352 is 612566/58

Greatest Common Factor of 638,8352 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,8352 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 8352

List of positive integer factors of 8352 that divides 8352 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,29,32,36,48,58,72,87,96,116,144,174,232,261,288,348,464,522,696,928,1044,1392,2088,2784,4176,8352

Greatest Common Factor

We found the factors 638,8352 . The biggest common factor number is the GCF number.
So the greatest common factor 638,8352 is 58.


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 79/638, 7754/8352

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 79/638, 7754/8352?

Answer: LCM of Numerators as per given numbers 79/638, 7754/8352 is

LCM of Numerators i.e. for 79,7754 is 612566

GCF of denominators i.e. for 638,8352 is 58.

Thus, LCM of Fractions is 612566/58.Finally, LCM of Fractions for 79/638, 7754/8352 is 612566/58.