Least Common Multiple of 42/566, 307/440, 605/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/566, 307/440, 605/353 quickly i.e. 7800870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/566, 307/440, 605/353 is 7800870.

LCM(42/566, 307/440, 605/353) = 7800870

LCM of 42/566, 307/440, 605/353

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 42/566,307/440,605/353

Given numbers are 42/566,307/440,605/353

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 42,307,605

Least Common Multiple of Numerators i.e. LCM of 42,307,605 is 7800870.

GCF of Denominators means GCF of 566,440,353 as per the given fractions.

GCF of 566,440,353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,307,605

LCM of Fractions 42/566,307/440,605/353 is 7800870

Given numbers has no common factors except 1. So, there LCM is their product i.e 7800870

Least Common Multiple of 42,307,605 with GCF Formula

Least Common Multiple of 42,307,605 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 42,307,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,307,605) = 1

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

GCF(42,307,605) x common factors =1 x 1 = 1

LCM(42,307,605) = ( 42 × 307 × 605 ) / 1

LCM(42,307,605) = 7800870 / 1

LCM(42,307,605) = 7800870


Lets's calculate GCF of 566,440,353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7800870/1

Therefore the LCM of Fractions 42/566,307/440,605/353 is 7800870

Greatest Common Factor of 566,440,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,440,353 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 566,440,353 . The biggest common factor number is the GCF number.
So the greatest common factor 566,440,353 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 42/566, 307/440, 605/353

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 42/566, 307/440, 605/353?

Answer: LCM of Numerators as per given numbers 42/566, 307/440, 605/353 is

LCM of Numerators i.e. for 42,307,605 is 7800870

GCF of denominators i.e. for 566,440,353 is 1.

Thus, LCM of Fractions is 7800870.Finally, LCM of Fractions for 42/566, 307/440, 605/353 is 7800870.