Least Common Multiple of 3799/30, 5418/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3799/30, 5418/231 quickly i.e. 6860994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3799/30, 5418/231 is 6860994.

LCM(3799/30, 5418/231) = 6860994

LCM of 3799/30, 5418/231

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 3799/30,5418/231

Given numbers are 3799/30,5418/231

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 3799,5418

Least Common Multiple of Numerators i.e. LCM of 3799,5418 is 20582982.

GCF of Denominators means GCF of 30,231 as per the given fractions.

GCF of 30,231 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3799,5418

LCM of Fractions 3799/30,5418/231 is 6860994

Given numbers has no common factors except 1. So, there LCM is their product i.e 20582982

Least Common Multiple of 3799,5418 with GCF Formula

Least Common Multiple of 3799,5418 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 3799,5418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3799,5418) = 1

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

GCF(3799,5418) x common factors =1 x 1 = 1

LCM(3799,5418) = ( 3799 × 5418 ) / 1

LCM(3799,5418) = 20582982 / 1

LCM(3799,5418) = 20582982


Lets's calculate GCF of 30,231

3 30, 231
10, 77

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20582982/3

Therefore the LCM of Fractions 3799/30,5418/231 is 6860994

Greatest Common Factor of 30,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,231 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 30,231 . The biggest common factor number is the GCF number.
So the greatest common factor 30,231 is 3.


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 3799/30, 5418/231

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 3799/30, 5418/231?

Answer: LCM of Numerators as per given numbers 3799/30, 5418/231 is

LCM of Numerators i.e. for 3799,5418 is 20582982

GCF of denominators i.e. for 30,231 is 3.

Thus, LCM of Fractions is 6860994.Finally, LCM of Fractions for 3799/30, 5418/231 is 6860994.