Least Common Multiple of 30/73, 37/49, 369/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/73, 37/49, 369/313 quickly i.e. 136530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/73, 37/49, 369/313 is 136530.

LCM(30/73, 37/49, 369/313) = 136530

LCM of 30/73, 37/49, 369/313

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 30/73,37/49,369/313

Given numbers are 30/73,37/49,369/313

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 30,37,369

Least Common Multiple of Numerators i.e. LCM of 30,37,369 is 136530.

GCF of Denominators means GCF of 73,49,313 as per the given fractions.

GCF of 73,49,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,37,369

LCM of Fractions 30/73,37/49,369/313 is 136530

3 30, 37, 369
10, 37, 123

∴ So the LCM of the given numbers is 3 x 10 x 37 x 123 = 136530

Least Common Multiple of 30,37,369 with GCF Formula

Least Common Multiple of 30,37,369 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 30,37,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,37,369) = 1

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

GCF(30,37,369) x common factors =1 x 3 = 3

LCM(30,37,369) = ( 30 × 37 × 369 ) / 3

LCM(30,37,369) = 409590 / 3

LCM(30,37,369) = 136530


Lets's calculate GCF of 73,49,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136530/1

Therefore the LCM of Fractions 30/73,37/49,369/313 is 136530

Greatest Common Factor of 73,49,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,49,313 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 73,49,313 . The biggest common factor number is the GCF number.
So the greatest common factor 73,49,313 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 30/73, 37/49, 369/313

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 30/73, 37/49, 369/313?

Answer: LCM of Numerators as per given numbers 30/73, 37/49, 369/313 is

LCM of Numerators i.e. for 30,37,369 is 136530

GCF of denominators i.e. for 73,49,313 is 1.

Thus, LCM of Fractions is 136530.Finally, LCM of Fractions for 30/73, 37/49, 369/313 is 136530.