Least Common Multiple of 60/321, 9300/1644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/321, 9300/1644 quickly i.e. 3100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/321, 9300/1644 is 3100.

LCM(60/321, 9300/1644) = 3100

LCM of 60/321, 9300/1644

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 60/321,9300/1644

Given numbers are 60/321,9300/1644

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 60,9300

Least Common Multiple of Numerators i.e. LCM of 60,9300 is 9300.

GCF of Denominators means GCF of 321,1644 as per the given fractions.

GCF of 321,1644 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,9300

LCM of Fractions 60/321,9300/1644 is 3100

2 60, 9300
2 30, 4650
3 15, 2325
5 5, 775
1, 155

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 155 = 9300

Least Common Multiple of 60,9300 with GCF Formula

Least Common Multiple of 60,9300 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 60,9300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,9300) = 60

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

GCF(60,9300) x common factors =60 x 1 = 60

LCM(60,9300) = ( 60 × 9300 ) / 60

LCM(60,9300) = 558000 / 60

LCM(60,9300) = 9300


Lets's calculate GCF of 321,1644

3 321, 1644
107, 548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9300/3

Therefore the LCM of Fractions 60/321,9300/1644 is 3100

Greatest Common Factor of 321,1644 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,1644 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 1644

List of positive integer factors of 1644 that divides 1644 without a remainder.

1,2,3,4,6,12,137,274,411,548,822,1644

Greatest Common Factor

We found the factors 321,1644 . The biggest common factor number is the GCF number.
So the greatest common factor 321,1644 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 60/321, 9300/1644

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 60/321, 9300/1644?

Answer: LCM of Numerators as per given numbers 60/321, 9300/1644 is

LCM of Numerators i.e. for 60,9300 is 9300

GCF of denominators i.e. for 321,1644 is 3.

Thus, LCM of Fractions is 3100.Finally, LCM of Fractions for 60/321, 9300/1644 is 3100.