Least Common Multiple of 30/894, 749/381, 743/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/894, 749/381, 743/673 quickly i.e. 16695210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/894, 749/381, 743/673 is 16695210.

LCM(30/894, 749/381, 743/673) = 16695210

LCM of 30/894, 749/381, 743/673

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 30/894,749/381,743/673

Given numbers are 30/894,749/381,743/673

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 30,749,743

Least Common Multiple of Numerators i.e. LCM of 30,749,743 is 16695210.

GCF of Denominators means GCF of 894,381,673 as per the given fractions.

GCF of 894,381,673 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,749,743

LCM of Fractions 30/894,749/381,743/673 is 16695210

Given numbers has no common factors except 1. So, there LCM is their product i.e 16695210

Least Common Multiple of 30,749,743 with GCF Formula

Least Common Multiple of 30,749,743 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 30,749,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,749,743) = 1

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

GCF(30,749,743) x common factors =1 x 1 = 1

LCM(30,749,743) = ( 30 × 749 × 743 ) / 1

LCM(30,749,743) = 16695210 / 1

LCM(30,749,743) = 16695210


Lets's calculate GCF of 894,381,673

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16695210/1

Therefore the LCM of Fractions 30/894,749/381,743/673 is 16695210

Greatest Common Factor of 894,381,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,381,673 By Matching Biggest Common Factor Method

Factors of 894

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

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

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Greatest Common Factor

We found the factors 894,381,673 . The biggest common factor number is the GCF number.
So the greatest common factor 894,381,673 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 30/894, 749/381, 743/673

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 30/894, 749/381, 743/673?

Answer: LCM of Numerators as per given numbers 30/894, 749/381, 743/673 is

LCM of Numerators i.e. for 30,749,743 is 16695210

GCF of denominators i.e. for 894,381,673 is 1.

Thus, LCM of Fractions is 16695210.Finally, LCM of Fractions for 30/894, 749/381, 743/673 is 16695210.