Least Common Multiple of 8190/390, 8170/4077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8190/390, 8170/4077 quickly i.e. 2230410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8190/390, 8170/4077 is 2230410.

LCM(8190/390, 8170/4077) = 2230410

LCM of 8190/390, 8170/4077

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 8190/390,8170/4077

Given numbers are 8190/390,8170/4077

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 8190,8170

Least Common Multiple of Numerators i.e. LCM of 8190,8170 is 6691230.

GCF of Denominators means GCF of 390,4077 as per the given fractions.

GCF of 390,4077 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8190,8170

LCM of Fractions 8190/390,8170/4077 is 2230410

2 8190, 8170
5 4095, 4085
819, 817

∴ So the LCM of the given numbers is 2 x 5 x 819 x 817 = 6691230

Least Common Multiple of 8190,8170 with GCF Formula

Least Common Multiple of 8190,8170 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 8190,8170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8190,8170) = 10

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

GCF(8190,8170) x common factors =10 x 1 = 10

LCM(8190,8170) = ( 8190 × 8170 ) / 10

LCM(8190,8170) = 66912300 / 10

LCM(8190,8170) = 6691230


Lets's calculate GCF of 390,4077

3 390, 4077
130, 1359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6691230/3

Therefore the LCM of Fractions 8190/390,8170/4077 is 2230410

Greatest Common Factor of 390,4077 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,4077 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 4077

List of positive integer factors of 4077 that divides 4077 without a remainder.

1,3,9,27,151,453,1359,4077

Greatest Common Factor

We found the factors 390,4077 . The biggest common factor number is the GCF number.
So the greatest common factor 390,4077 is 3.


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 8190/390, 8170/4077

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 8190/390, 8170/4077?

Answer: LCM of Numerators as per given numbers 8190/390, 8170/4077 is

LCM of Numerators i.e. for 8190,8170 is 6691230

GCF of denominators i.e. for 390,4077 is 3.

Thus, LCM of Fractions is 2230410.Finally, LCM of Fractions for 8190/390, 8170/4077 is 2230410.