Least Common Multiple of 8184/34, 4476/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8184/34, 4476/962 quickly i.e. 1526316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8184/34, 4476/962 is 1526316.

LCM(8184/34, 4476/962) = 1526316

LCM of 8184/34, 4476/962

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 8184/34,4476/962

Given numbers are 8184/34,4476/962

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 8184,4476

Least Common Multiple of Numerators i.e. LCM of 8184,4476 is 3052632.

GCF of Denominators means GCF of 34,962 as per the given fractions.

GCF of 34,962 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8184,4476

LCM of Fractions 8184/34,4476/962 is 1526316

2 8184, 4476
2 4092, 2238
3 2046, 1119
682, 373

∴ So the LCM of the given numbers is 2 x 2 x 3 x 682 x 373 = 3052632

Least Common Multiple of 8184,4476 with GCF Formula

Least Common Multiple of 8184,4476 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 8184,4476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8184,4476) = 12

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

GCF(8184,4476) x common factors =12 x 1 = 12

LCM(8184,4476) = ( 8184 × 4476 ) / 12

LCM(8184,4476) = 36631584 / 12

LCM(8184,4476) = 3052632


Lets's calculate GCF of 34,962

2 34, 962
17, 481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3052632/2

Therefore the LCM of Fractions 8184/34,4476/962 is 1526316

Greatest Common Factor of 34,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,962 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 34,962 . The biggest common factor number is the GCF number.
So the greatest common factor 34,962 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 8184/34, 4476/962

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 8184/34, 4476/962?

Answer: LCM of Numerators as per given numbers 8184/34, 4476/962 is

LCM of Numerators i.e. for 8184,4476 is 3052632

GCF of denominators i.e. for 34,962 is 2.

Thus, LCM of Fractions is 1526316.Finally, LCM of Fractions for 8184/34, 4476/962 is 1526316.