Least Common Multiple of 7110/80, 6960/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7110/80, 6960/396 quickly i.e. 412380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7110/80, 6960/396 is 412380.

LCM(7110/80, 6960/396) = 412380

LCM of 7110/80, 6960/396

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 7110/80,6960/396

Given numbers are 7110/80,6960/396

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 7110,6960

Least Common Multiple of Numerators i.e. LCM of 7110,6960 is 1649520.

GCF of Denominators means GCF of 80,396 as per the given fractions.

GCF of 80,396 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7110,6960

LCM of Fractions 7110/80,6960/396 is 412380

2 7110, 6960
3 3555, 3480
5 1185, 1160
237, 232

∴ So the LCM of the given numbers is 2 x 3 x 5 x 237 x 232 = 1649520

Least Common Multiple of 7110,6960 with GCF Formula

Least Common Multiple of 7110,6960 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 7110,6960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7110,6960) = 30

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

GCF(7110,6960) x common factors =30 x 1 = 30

LCM(7110,6960) = ( 7110 × 6960 ) / 30

LCM(7110,6960) = 49485600 / 30

LCM(7110,6960) = 1649520


Lets's calculate GCF of 80,396

2 80, 396
2 40, 198
20, 99

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1649520/4

Therefore the LCM of Fractions 7110/80,6960/396 is 412380

Greatest Common Factor of 80,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,396 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 80,396 . The biggest common factor number is the GCF number.
So the greatest common factor 80,396 is 4.


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 7110/80, 6960/396

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 7110/80, 6960/396?

Answer: LCM of Numerators as per given numbers 7110/80, 6960/396 is

LCM of Numerators i.e. for 7110,6960 is 1649520

GCF of denominators i.e. for 80,396 is 4.

Thus, LCM of Fractions is 412380.Finally, LCM of Fractions for 7110/80, 6960/396 is 412380.