Least Common Multiple of 30/795, 45/161, 638/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/795, 45/161, 638/894 quickly i.e. 28710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/795, 45/161, 638/894 is 28710.

LCM(30/795, 45/161, 638/894) = 28710

LCM of 30/795, 45/161, 638/894

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 30/795,45/161,638/894

Given numbers are 30/795,45/161,638/894

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 30,45,638

Least Common Multiple of Numerators i.e. LCM of 30,45,638 is 28710.

GCF of Denominators means GCF of 795,161,894 as per the given fractions.

GCF of 795,161,894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,45,638

LCM of Fractions 30/795,45/161,638/894 is 28710

2 30, 45, 638
3 15, 45, 319
5 5, 15, 319
1, 3, 319

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 3 x 319 = 28710

Least Common Multiple of 30,45,638 with GCF Formula

Least Common Multiple of 30,45,638 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 30,45,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,45,638) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(30,45,638) x common factors =1 x 30 = 30

LCM(30,45,638) = ( 30 × 45 × 638 ) / 30

LCM(30,45,638) = 861300 / 30

LCM(30,45,638) = 28710


Lets's calculate GCF of 795,161,894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28710/1

Therefore the LCM of Fractions 30/795,45/161,638/894 is 28710

Greatest Common Factor of 795,161,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,161,894 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 795,161,894 . The biggest common factor number is the GCF number.
So the greatest common factor 795,161,894 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 30/795, 45/161, 638/894

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 30/795, 45/161, 638/894?

Answer: LCM of Numerators as per given numbers 30/795, 45/161, 638/894 is

LCM of Numerators i.e. for 30,45,638 is 28710

GCF of denominators i.e. for 795,161,894 is 1.

Thus, LCM of Fractions is 28710.Finally, LCM of Fractions for 30/795, 45/161, 638/894 is 28710.