Least Common Multiple of 180/21, 6289/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 180/21, 6289/333 quickly i.e. 377340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 180/21, 6289/333 is 377340.

LCM(180/21, 6289/333) = 377340

LCM of 180/21, 6289/333

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 180/21,6289/333

Given numbers are 180/21,6289/333

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 180,6289

Least Common Multiple of Numerators i.e. LCM of 180,6289 is 1132020.

GCF of Denominators means GCF of 21,333 as per the given fractions.

GCF of 21,333 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 180,6289

LCM of Fractions 180/21,6289/333 is 377340

Given numbers has no common factors except 1. So, there LCM is their product i.e 1132020

Least Common Multiple of 180,6289 with GCF Formula

Least Common Multiple of 180,6289 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 180,6289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,6289) = 1

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

GCF(180,6289) x common factors =1 x 1 = 1

LCM(180,6289) = ( 180 × 6289 ) / 1

LCM(180,6289) = 1132020 / 1

LCM(180,6289) = 1132020


Lets's calculate GCF of 21,333

3 21, 333
7, 111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1132020/3

Therefore the LCM of Fractions 180/21,6289/333 is 377340

Greatest Common Factor of 21,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,333 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 21,333 . The biggest common factor number is the GCF number.
So the greatest common factor 21,333 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 180/21, 6289/333

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 180/21, 6289/333?

Answer: LCM of Numerators as per given numbers 180/21, 6289/333 is

LCM of Numerators i.e. for 180,6289 is 1132020

GCF of denominators i.e. for 21,333 is 3.

Thus, LCM of Fractions is 377340.Finally, LCM of Fractions for 180/21, 6289/333 is 377340.