Least Common Multiple of 3372/270, 5618/3507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3372/270, 5618/3507 quickly i.e. 3157316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3372/270, 5618/3507 is 3157316.

LCM(3372/270, 5618/3507) = 3157316

LCM of 3372/270, 5618/3507

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 3372/270,5618/3507

Given numbers are 3372/270,5618/3507

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 3372,5618

Least Common Multiple of Numerators i.e. LCM of 3372,5618 is 9471948.

GCF of Denominators means GCF of 270,3507 as per the given fractions.

GCF of 270,3507 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3372,5618

LCM of Fractions 3372/270,5618/3507 is 3157316

2 3372, 5618
1686, 2809

∴ So the LCM of the given numbers is 2 x 1686 x 2809 = 9471948

Least Common Multiple of 3372,5618 with GCF Formula

Least Common Multiple of 3372,5618 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 3372,5618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3372,5618) = 2

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

GCF(3372,5618) x common factors =2 x 1 = 2

LCM(3372,5618) = ( 3372 × 5618 ) / 2

LCM(3372,5618) = 18943896 / 2

LCM(3372,5618) = 9471948


Lets's calculate GCF of 270,3507

3 270, 3507
90, 1169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9471948/3

Therefore the LCM of Fractions 3372/270,5618/3507 is 3157316

Greatest Common Factor of 270,3507 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,3507 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 3507

List of positive integer factors of 3507 that divides 3507 without a remainder.

1,3,7,21,167,501,1169,3507

Greatest Common Factor

We found the factors 270,3507 . The biggest common factor number is the GCF number.
So the greatest common factor 270,3507 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3372/270, 5618/3507

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 3372/270, 5618/3507?

Answer: LCM of Numerators as per given numbers 3372/270, 5618/3507 is

LCM of Numerators i.e. for 3372,5618 is 9471948

GCF of denominators i.e. for 270,3507 is 3.

Thus, LCM of Fractions is 3157316.Finally, LCM of Fractions for 3372/270, 5618/3507 is 3157316.