Least Common Multiple of 75/413, 75/923, 629/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/413, 75/923, 629/920 quickly i.e. 47175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/413, 75/923, 629/920 is 47175.

LCM(75/413, 75/923, 629/920) = 47175

LCM of 75/413, 75/923, 629/920

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 75/413,75/923,629/920

Given numbers are 75/413,75/923,629/920

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 75,75,629

Least Common Multiple of Numerators i.e. LCM of 75,75,629 is 47175.

GCF of Denominators means GCF of 413,923,920 as per the given fractions.

GCF of 413,923,920 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,75,629

LCM of Fractions 75/413,75/923,629/920 is 47175

3 75, 75, 629
5 25, 25, 629
5 5, 5, 629
1, 1, 629

∴ So the LCM of the given numbers is 3 x 5 x 5 x 1 x 1 x 629 = 47175

Least Common Multiple of 75,75,629 with GCF Formula

Least Common Multiple of 75,75,629 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 75,75,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,75,629) = 1

common factors(in case of two or more numbers have common factors) = 75

GCF(75,75,629) x common factors =1 x 75 = 75

LCM(75,75,629) = ( 75 × 75 × 629 ) / 75

LCM(75,75,629) = 3538125 / 75

LCM(75,75,629) = 47175


Lets's calculate GCF of 413,923,920

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47175/1

Therefore the LCM of Fractions 75/413,75/923,629/920 is 47175

Greatest Common Factor of 413,923,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,923,920 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 923

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

1,13,71,923

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 413,923,920 . The biggest common factor number is the GCF number.
So the greatest common factor 413,923,920 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 75/413, 75/923, 629/920

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 75/413, 75/923, 629/920?

Answer: LCM of Numerators as per given numbers 75/413, 75/923, 629/920 is

LCM of Numerators i.e. for 75,75,629 is 47175

GCF of denominators i.e. for 413,923,920 is 1.

Thus, LCM of Fractions is 47175.Finally, LCM of Fractions for 75/413, 75/923, 629/920 is 47175.