Least Common Multiple of 3270/335, 7217/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3270/335, 7217/240 quickly i.e. 4719918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3270/335, 7217/240 is 4719918.

LCM(3270/335, 7217/240) = 4719918

LCM of 3270/335, 7217/240

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 3270/335,7217/240

Given numbers are 3270/335,7217/240

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 3270,7217

Least Common Multiple of Numerators i.e. LCM of 3270,7217 is 23599590.

GCF of Denominators means GCF of 335,240 as per the given fractions.

GCF of 335,240 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3270,7217

LCM of Fractions 3270/335,7217/240 is 4719918

Given numbers has no common factors except 1. So, there LCM is their product i.e 23599590

Least Common Multiple of 3270,7217 with GCF Formula

Least Common Multiple of 3270,7217 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 3270,7217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3270,7217) = 1

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

GCF(3270,7217) x common factors =1 x 1 = 1

LCM(3270,7217) = ( 3270 × 7217 ) / 1

LCM(3270,7217) = 23599590 / 1

LCM(3270,7217) = 23599590


Lets's calculate GCF of 335,240

5 335, 240
67, 48

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23599590/5

Therefore the LCM of Fractions 3270/335,7217/240 is 4719918

Greatest Common Factor of 335,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,240 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 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 335,240 . The biggest common factor number is the GCF number.
So the greatest common factor 335,240 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 3270/335, 7217/240

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 3270/335, 7217/240?

Answer: LCM of Numerators as per given numbers 3270/335, 7217/240 is

LCM of Numerators i.e. for 3270,7217 is 23599590

GCF of denominators i.e. for 335,240 is 5.

Thus, LCM of Fractions is 4719918.Finally, LCM of Fractions for 3270/335, 7217/240 is 4719918.