Least Common Multiple of 8538/485, 7830/5786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8538/485, 7830/5786 quickly i.e. 11142090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8538/485, 7830/5786 is 11142090.

LCM(8538/485, 7830/5786) = 11142090

LCM of 8538/485, 7830/5786

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 8538/485,7830/5786

Given numbers are 8538/485,7830/5786

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 8538,7830

Least Common Multiple of Numerators i.e. LCM of 8538,7830 is 11142090.

GCF of Denominators means GCF of 485,5786 as per the given fractions.

GCF of 485,5786 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8538,7830

LCM of Fractions 8538/485,7830/5786 is 11142090

2 8538, 7830
3 4269, 3915
1423, 1305

∴ So the LCM of the given numbers is 2 x 3 x 1423 x 1305 = 11142090

Least Common Multiple of 8538,7830 with GCF Formula

Least Common Multiple of 8538,7830 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 8538,7830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8538,7830) = 6

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

GCF(8538,7830) x common factors =6 x 1 = 6

LCM(8538,7830) = ( 8538 × 7830 ) / 6

LCM(8538,7830) = 66852540 / 6

LCM(8538,7830) = 11142090


Lets's calculate GCF of 485,5786

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11142090/1

Therefore the LCM of Fractions 8538/485,7830/5786 is 11142090

Greatest Common Factor of 485,5786 By Matching Biggest Common Factor Method

Greatest Common Factor of 485,5786 By Matching Biggest Common Factor Method

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 5786

List of positive integer factors of 5786 that divides 5786 without a remainder.

1,2,11,22,263,526,2893,5786

Greatest Common Factor

We found the factors 485,5786 . The biggest common factor number is the GCF number.
So the greatest common factor 485,5786 is 1.


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 8538/485, 7830/5786

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 8538/485, 7830/5786?

Answer: LCM of Numerators as per given numbers 8538/485, 7830/5786 is

LCM of Numerators i.e. for 8538,7830 is 11142090

GCF of denominators i.e. for 485,5786 is 1.

Thus, LCM of Fractions is 11142090.Finally, LCM of Fractions for 8538/485, 7830/5786 is 11142090.