Least Common Multiple of 775/29, 105/7923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 775/29, 105/7923 quickly i.e. 16275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 775/29, 105/7923 is 16275.

LCM(775/29, 105/7923) = 16275

LCM of 775/29, 105/7923

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 775/29,105/7923

Given numbers are 775/29,105/7923

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 775,105

Least Common Multiple of Numerators i.e. LCM of 775,105 is 16275.

GCF of Denominators means GCF of 29,7923 as per the given fractions.

GCF of 29,7923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 775,105

LCM of Fractions 775/29,105/7923 is 16275

5 775, 105
155, 21

∴ So the LCM of the given numbers is 5 x 155 x 21 = 16275

Least Common Multiple of 775,105 with GCF Formula

Least Common Multiple of 775,105 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 775,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,105) = 5

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

GCF(775,105) x common factors =5 x 1 = 5

LCM(775,105) = ( 775 × 105 ) / 5

LCM(775,105) = 81375 / 5

LCM(775,105) = 16275


Lets's calculate GCF of 29,7923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16275/1

Therefore the LCM of Fractions 775/29,105/7923 is 16275

Greatest Common Factor of 29,7923 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,7923 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 7923

List of positive integer factors of 7923 that divides 7923 without a remainder.

1,3,19,57,139,417,2641,7923

Greatest Common Factor

We found the factors 29,7923 . The biggest common factor number is the GCF number.
So the greatest common factor 29,7923 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 775/29, 105/7923

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 775/29, 105/7923?

Answer: LCM of Numerators as per given numbers 775/29, 105/7923 is

LCM of Numerators i.e. for 775,105 is 16275

GCF of denominators i.e. for 29,7923 is 1.

Thus, LCM of Fractions is 16275.Finally, LCM of Fractions for 775/29, 105/7923 is 16275.