Least Common Multiple of 795/57, 671/10, 814/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 795/57, 671/10, 814/923 quickly i.e. 39474930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 795/57, 671/10, 814/923 is 39474930.

LCM(795/57, 671/10, 814/923) = 39474930

LCM of 795/57, 671/10, 814/923

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 795/57,671/10,814/923

Given numbers are 795/57,671/10,814/923

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 795,671,814

Least Common Multiple of Numerators i.e. LCM of 795,671,814 is 39474930.

GCF of Denominators means GCF of 57,10,923 as per the given fractions.

GCF of 57,10,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 795,671,814

LCM of Fractions 795/57,671/10,814/923 is 39474930

11 795, 671, 814
795, 61, 74

∴ So the LCM of the given numbers is 11 x 795 x 61 x 74 = 39474930

Least Common Multiple of 795,671,814 with GCF Formula

Least Common Multiple of 795,671,814 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 795,671,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,671,814) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(795,671,814) x common factors =1 x 11 = 11

LCM(795,671,814) = ( 795 × 671 × 814 ) / 11

LCM(795,671,814) = 434224230 / 11

LCM(795,671,814) = 39474930


Lets's calculate GCF of 57,10,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39474930/1

Therefore the LCM of Fractions 795/57,671/10,814/923 is 39474930

Greatest Common Factor of 57,10,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,10,923 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 57,10,923 . The biggest common factor number is the GCF number.
So the greatest common factor 57,10,923 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 795/57, 671/10, 814/923

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 795/57, 671/10, 814/923?

Answer: LCM of Numerators as per given numbers 795/57, 671/10, 814/923 is

LCM of Numerators i.e. for 795,671,814 is 39474930

GCF of denominators i.e. for 57,10,923 is 1.

Thus, LCM of Fractions is 39474930.Finally, LCM of Fractions for 795/57, 671/10, 814/923 is 39474930.