Least Common Multiple of 5535/468, 3325/4816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5535/468, 3325/4816 quickly i.e. 3680775/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5535/468, 3325/4816 is 3680775/4.

LCM(5535/468, 3325/4816) = 3680775/4

LCM of 5535/468, 3325/4816

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 5535/468,3325/4816

Given numbers are 5535/468,3325/4816

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 5535,3325

Least Common Multiple of Numerators i.e. LCM of 5535,3325 is 3680775.

GCF of Denominators means GCF of 468,4816 as per the given fractions.

GCF of 468,4816 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5535,3325

LCM of Fractions 5535/468,3325/4816 is 3680775/4

5 5535, 3325
1107, 665

∴ So the LCM of the given numbers is 5 x 1107 x 665 = 3680775

Least Common Multiple of 5535,3325 with GCF Formula

Least Common Multiple of 5535,3325 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 5535,3325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5535,3325) = 5

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

GCF(5535,3325) x common factors =5 x 1 = 5

LCM(5535,3325) = ( 5535 × 3325 ) / 5

LCM(5535,3325) = 18403875 / 5

LCM(5535,3325) = 3680775


Lets's calculate GCF of 468,4816

2 468, 4816
2 234, 2408
117, 1204

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3680775/4

Therefore the LCM of Fractions 5535/468,3325/4816 is 3680775/4

Greatest Common Factor of 468,4816 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,4816 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 4816

List of positive integer factors of 4816 that divides 4816 without a remainder.

1,2,4,7,8,14,16,28,43,56,86,112,172,301,344,602,688,1204,2408,4816

Greatest Common Factor

We found the factors 468,4816 . The biggest common factor number is the GCF number.
So the greatest common factor 468,4816 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5535/468, 3325/4816

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 5535/468, 3325/4816?

Answer: LCM of Numerators as per given numbers 5535/468, 3325/4816 is

LCM of Numerators i.e. for 5535,3325 is 3680775

GCF of denominators i.e. for 468,4816 is 4.

Thus, LCM of Fractions is 3680775/4.Finally, LCM of Fractions for 5535/468, 3325/4816 is 3680775/4.