Least Common Multiple of 575/42, 457/18, 792/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 575/42, 457/18, 792/855 quickly i.e. 69372600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 575/42, 457/18, 792/855 is 69372600.

LCM(575/42, 457/18, 792/855) = 69372600

LCM of 575/42, 457/18, 792/855

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 575/42,457/18,792/855

Given numbers are 575/42,457/18,792/855

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 575,457,792

Least Common Multiple of Numerators i.e. LCM of 575,457,792 is 208117800.

GCF of Denominators means GCF of 42,18,855 as per the given fractions.

GCF of 42,18,855 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 575,457,792

LCM of Fractions 575/42,457/18,792/855 is 69372600

Given numbers has no common factors except 1. So, there LCM is their product i.e 208117800

Least Common Multiple of 575,457,792 with GCF Formula

Least Common Multiple of 575,457,792 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 575,457,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,457,792) = 1

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

GCF(575,457,792) x common factors =1 x 1 = 1

LCM(575,457,792) = ( 575 × 457 × 792 ) / 1

LCM(575,457,792) = 208117800 / 1

LCM(575,457,792) = 208117800


Lets's calculate GCF of 42,18,855

3 42, 18, 855
14, 6, 285

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208117800/3

Therefore the LCM of Fractions 575/42,457/18,792/855 is 69372600

Greatest Common Factor of 42,18,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,18,855 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 42,18,855 . The biggest common factor number is the GCF number.
So the greatest common factor 42,18,855 is 3.


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 575/42, 457/18, 792/855

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 575/42, 457/18, 792/855?

Answer: LCM of Numerators as per given numbers 575/42, 457/18, 792/855 is

LCM of Numerators i.e. for 575,457,792 is 208117800

GCF of denominators i.e. for 42,18,855 is 3.

Thus, LCM of Fractions is 69372600.Finally, LCM of Fractions for 575/42, 457/18, 792/855 is 69372600.