Least Common Multiple of 8245/189, 3859/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8245/189, 3859/522 quickly i.e. 1871615/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8245/189, 3859/522 is 1871615/9.

LCM(8245/189, 3859/522) = 1871615/9

LCM of 8245/189, 3859/522

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 8245/189,3859/522

Given numbers are 8245/189,3859/522

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 8245,3859

Least Common Multiple of Numerators i.e. LCM of 8245,3859 is 1871615.

GCF of Denominators means GCF of 189,522 as per the given fractions.

GCF of 189,522 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8245,3859

LCM of Fractions 8245/189,3859/522 is 1871615/9

17 8245, 3859
485, 227

∴ So the LCM of the given numbers is 17 x 485 x 227 = 1871615

Least Common Multiple of 8245,3859 with GCF Formula

Least Common Multiple of 8245,3859 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 8245,3859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8245,3859) = 17

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

GCF(8245,3859) x common factors =17 x 1 = 17

LCM(8245,3859) = ( 8245 × 3859 ) / 17

LCM(8245,3859) = 31817455 / 17

LCM(8245,3859) = 1871615


Lets's calculate GCF of 189,522

3 189, 522
3 63, 174
21, 58

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1871615/9

Therefore the LCM of Fractions 8245/189,3859/522 is 1871615/9

Greatest Common Factor of 189,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,522 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 189,522 . The biggest common factor number is the GCF number.
So the greatest common factor 189,522 is 9.


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 8245/189, 3859/522

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 8245/189, 3859/522?

Answer: LCM of Numerators as per given numbers 8245/189, 3859/522 is

LCM of Numerators i.e. for 8245,3859 is 1871615

GCF of denominators i.e. for 189,522 is 9.

Thus, LCM of Fractions is 1871615/9.Finally, LCM of Fractions for 8245/189, 3859/522 is 1871615/9.