Least Common Multiple of 8481/174, 3826/1606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8481/174, 3826/1606 quickly i.e. 16224153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8481/174, 3826/1606 is 16224153.

LCM(8481/174, 3826/1606) = 16224153

LCM of 8481/174, 3826/1606

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 8481/174,3826/1606

Given numbers are 8481/174,3826/1606

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 8481,3826

Least Common Multiple of Numerators i.e. LCM of 8481,3826 is 32448306.

GCF of Denominators means GCF of 174,1606 as per the given fractions.

GCF of 174,1606 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8481,3826

LCM of Fractions 8481/174,3826/1606 is 16224153

Given numbers has no common factors except 1. So, there LCM is their product i.e 32448306

Least Common Multiple of 8481,3826 with GCF Formula

Least Common Multiple of 8481,3826 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 8481,3826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8481,3826) = 1

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

GCF(8481,3826) x common factors =1 x 1 = 1

LCM(8481,3826) = ( 8481 × 3826 ) / 1

LCM(8481,3826) = 32448306 / 1

LCM(8481,3826) = 32448306


Lets's calculate GCF of 174,1606

2 174, 1606
87, 803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32448306/2

Therefore the LCM of Fractions 8481/174,3826/1606 is 16224153

Greatest Common Factor of 174,1606 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,1606 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 1606

List of positive integer factors of 1606 that divides 1606 without a remainder.

1,2,11,22,73,146,803,1606

Greatest Common Factor

We found the factors 174,1606 . The biggest common factor number is the GCF number.
So the greatest common factor 174,1606 is 2.


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 8481/174, 3826/1606

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 8481/174, 3826/1606?

Answer: LCM of Numerators as per given numbers 8481/174, 3826/1606 is

LCM of Numerators i.e. for 8481,3826 is 32448306

GCF of denominators i.e. for 174,1606 is 2.

Thus, LCM of Fractions is 16224153.Finally, LCM of Fractions for 8481/174, 3826/1606 is 16224153.