Least Common Multiple of 435/798, 301/588, 183/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 435/798, 301/588, 183/542 quickly i.e. 7987035/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 435/798, 301/588, 183/542 is 7987035/2.

LCM(435/798, 301/588, 183/542) = 7987035/2

LCM of 435/798, 301/588, 183/542

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 435/798,301/588,183/542

Given numbers are 435/798,301/588,183/542

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 435,301,183

Least Common Multiple of Numerators i.e. LCM of 435,301,183 is 7987035.

GCF of Denominators means GCF of 798,588,542 as per the given fractions.

GCF of 798,588,542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 435,301,183

LCM of Fractions 435/798,301/588,183/542 is 7987035/2

3 435, 301, 183
145, 301, 61

∴ So the LCM of the given numbers is 3 x 145 x 301 x 61 = 7987035

Least Common Multiple of 435,301,183 with GCF Formula

Least Common Multiple of 435,301,183 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 435,301,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,301,183) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(435,301,183) x common factors =1 x 3 = 3

LCM(435,301,183) = ( 435 × 301 × 183 ) / 3

LCM(435,301,183) = 23961105 / 3

LCM(435,301,183) = 7987035


Lets's calculate GCF of 798,588,542

2 798, 588, 542
399, 294, 271

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7987035/2

Therefore the LCM of Fractions 435/798,301/588,183/542 is 7987035/2

Greatest Common Factor of 798,588,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,588,542 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 798,588,542 . The biggest common factor number is the GCF number.
So the greatest common factor 798,588,542 is 2.


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 435/798, 301/588, 183/542

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 435/798, 301/588, 183/542?

Answer: LCM of Numerators as per given numbers 435/798, 301/588, 183/542 is

LCM of Numerators i.e. for 435,301,183 is 7987035

GCF of denominators i.e. for 798,588,542 is 2.

Thus, LCM of Fractions is 7987035/2.Finally, LCM of Fractions for 435/798, 301/588, 183/542 is 7987035/2.