Least Common Multiple of 3642/176, 1405/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3642/176, 1405/182 quickly i.e. 2558505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3642/176, 1405/182 is 2558505.

LCM(3642/176, 1405/182) = 2558505

LCM of 3642/176, 1405/182

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 3642/176,1405/182

Given numbers are 3642/176,1405/182

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 3642,1405

Least Common Multiple of Numerators i.e. LCM of 3642,1405 is 5117010.

GCF of Denominators means GCF of 176,182 as per the given fractions.

GCF of 176,182 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3642,1405

LCM of Fractions 3642/176,1405/182 is 2558505

Given numbers has no common factors except 1. So, there LCM is their product i.e 5117010

Least Common Multiple of 3642,1405 with GCF Formula

Least Common Multiple of 3642,1405 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 3642,1405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3642,1405) = 1

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

GCF(3642,1405) x common factors =1 x 1 = 1

LCM(3642,1405) = ( 3642 × 1405 ) / 1

LCM(3642,1405) = 5117010 / 1

LCM(3642,1405) = 5117010


Lets's calculate GCF of 176,182

2 176, 182
88, 91

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5117010/2

Therefore the LCM of Fractions 3642/176,1405/182 is 2558505

Greatest Common Factor of 176,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,182 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 176,182 . The biggest common factor number is the GCF number.
So the greatest common factor 176,182 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 3642/176, 1405/182

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 3642/176, 1405/182?

Answer: LCM of Numerators as per given numbers 3642/176, 1405/182 is

LCM of Numerators i.e. for 3642,1405 is 5117010

GCF of denominators i.e. for 176,182 is 2.

Thus, LCM of Fractions is 2558505.Finally, LCM of Fractions for 3642/176, 1405/182 is 2558505.