Least Common Multiple of 8182/174, 8904/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8182/174, 8904/268 quickly i.e. 18213132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8182/174, 8904/268 is 18213132.

LCM(8182/174, 8904/268) = 18213132

LCM of 8182/174, 8904/268

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 8182/174,8904/268

Given numbers are 8182/174,8904/268

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 8182,8904

Least Common Multiple of Numerators i.e. LCM of 8182,8904 is 36426264.

GCF of Denominators means GCF of 174,268 as per the given fractions.

GCF of 174,268 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8182,8904

LCM of Fractions 8182/174,8904/268 is 18213132

2 8182, 8904
4091, 4452

∴ So the LCM of the given numbers is 2 x 4091 x 4452 = 36426264

Least Common Multiple of 8182,8904 with GCF Formula

Least Common Multiple of 8182,8904 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 8182,8904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8182,8904) = 2

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

GCF(8182,8904) x common factors =2 x 1 = 2

LCM(8182,8904) = ( 8182 × 8904 ) / 2

LCM(8182,8904) = 72852528 / 2

LCM(8182,8904) = 36426264


Lets's calculate GCF of 174,268

2 174, 268
87, 134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36426264/2

Therefore the LCM of Fractions 8182/174,8904/268 is 18213132

Greatest Common Factor of 174,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,268 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 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 174,268 . The biggest common factor number is the GCF number.
So the greatest common factor 174,268 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 8182/174, 8904/268

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 8182/174, 8904/268?

Answer: LCM of Numerators as per given numbers 8182/174, 8904/268 is

LCM of Numerators i.e. for 8182,8904 is 36426264

GCF of denominators i.e. for 174,268 is 2.

Thus, LCM of Fractions is 18213132.Finally, LCM of Fractions for 8182/174, 8904/268 is 18213132.