Least Common Multiple of 1727/335, 9600/6330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1727/335, 9600/6330 quickly i.e. 3315840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1727/335, 9600/6330 is 3315840.

LCM(1727/335, 9600/6330) = 3315840

LCM of 1727/335, 9600/6330

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 1727/335,9600/6330

Given numbers are 1727/335,9600/6330

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 1727,9600

Least Common Multiple of Numerators i.e. LCM of 1727,9600 is 16579200.

GCF of Denominators means GCF of 335,6330 as per the given fractions.

GCF of 335,6330 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1727,9600

LCM of Fractions 1727/335,9600/6330 is 3315840

Given numbers has no common factors except 1. So, there LCM is their product i.e 16579200

Least Common Multiple of 1727,9600 with GCF Formula

Least Common Multiple of 1727,9600 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 1727,9600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1727,9600) = 1

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

GCF(1727,9600) x common factors =1 x 1 = 1

LCM(1727,9600) = ( 1727 × 9600 ) / 1

LCM(1727,9600) = 16579200 / 1

LCM(1727,9600) = 16579200


Lets's calculate GCF of 335,6330

5 335, 6330
67, 1266

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16579200/5

Therefore the LCM of Fractions 1727/335,9600/6330 is 3315840

Greatest Common Factor of 335,6330 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,6330 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 6330

List of positive integer factors of 6330 that divides 6330 without a remainder.

1,2,3,5,6,10,15,30,211,422,633,1055,1266,2110,3165,6330

Greatest Common Factor

We found the factors 335,6330 . The biggest common factor number is the GCF number.
So the greatest common factor 335,6330 is 5.


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 1727/335, 9600/6330

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 1727/335, 9600/6330?

Answer: LCM of Numerators as per given numbers 1727/335, 9600/6330 is

LCM of Numerators i.e. for 1727,9600 is 16579200

GCF of denominators i.e. for 335,6330 is 5.

Thus, LCM of Fractions is 3315840.Finally, LCM of Fractions for 1727/335, 9600/6330 is 3315840.