Least Common Multiple of 7270/660, 8035/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7270/660, 8035/561 quickly i.e. 11682890/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7270/660, 8035/561 is 11682890/33.

LCM(7270/660, 8035/561) = 11682890/33

LCM of 7270/660, 8035/561

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 7270/660,8035/561

Given numbers are 7270/660,8035/561

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 7270,8035

Least Common Multiple of Numerators i.e. LCM of 7270,8035 is 11682890.

GCF of Denominators means GCF of 660,561 as per the given fractions.

GCF of 660,561 is 33 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7270,8035

LCM of Fractions 7270/660,8035/561 is 11682890/33

5 7270, 8035
1454, 1607

∴ So the LCM of the given numbers is 5 x 1454 x 1607 = 11682890

Least Common Multiple of 7270,8035 with GCF Formula

Least Common Multiple of 7270,8035 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 7270,8035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7270,8035) = 5

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

GCF(7270,8035) x common factors =5 x 1 = 5

LCM(7270,8035) = ( 7270 × 8035 ) / 5

LCM(7270,8035) = 58414450 / 5

LCM(7270,8035) = 11682890


Lets's calculate GCF of 660,561

3 660, 561
11 220, 187
20, 17

∴ So the GCF of the given numbers is 3 x 11 = 33

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11682890/33

Therefore the LCM of Fractions 7270/660,8035/561 is 11682890/33

Greatest Common Factor of 660,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,561 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 660,561 . The biggest common factor number is the GCF number.
So the greatest common factor 660,561 is 33.


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 7270/660, 8035/561

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 7270/660, 8035/561?

Answer: LCM of Numerators as per given numbers 7270/660, 8035/561 is

LCM of Numerators i.e. for 7270,8035 is 11682890

GCF of denominators i.e. for 660,561 is 33.

Thus, LCM of Fractions is 11682890/33.Finally, LCM of Fractions for 7270/660, 8035/561 is 11682890/33.