Least Common Multiple of 3225/438, 2430/2810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3225/438, 2430/2810 quickly i.e. 261225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3225/438, 2430/2810 is 261225.

LCM(3225/438, 2430/2810) = 261225

LCM of 3225/438, 2430/2810

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 3225/438,2430/2810

Given numbers are 3225/438,2430/2810

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 3225,2430

Least Common Multiple of Numerators i.e. LCM of 3225,2430 is 522450.

GCF of Denominators means GCF of 438,2810 as per the given fractions.

GCF of 438,2810 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3225,2430

LCM of Fractions 3225/438,2430/2810 is 261225

3 3225, 2430
5 1075, 810
215, 162

∴ So the LCM of the given numbers is 3 x 5 x 215 x 162 = 522450

Least Common Multiple of 3225,2430 with GCF Formula

Least Common Multiple of 3225,2430 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 3225,2430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3225,2430) = 15

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

GCF(3225,2430) x common factors =15 x 1 = 15

LCM(3225,2430) = ( 3225 × 2430 ) / 15

LCM(3225,2430) = 7836750 / 15

LCM(3225,2430) = 522450


Lets's calculate GCF of 438,2810

2 438, 2810
219, 1405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 522450/2

Therefore the LCM of Fractions 3225/438,2430/2810 is 261225

Greatest Common Factor of 438,2810 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,2810 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 2810

List of positive integer factors of 2810 that divides 2810 without a remainder.

1,2,5,10,281,562,1405,2810

Greatest Common Factor

We found the factors 438,2810 . The biggest common factor number is the GCF number.
So the greatest common factor 438,2810 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 3225/438, 2430/2810

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 3225/438, 2430/2810?

Answer: LCM of Numerators as per given numbers 3225/438, 2430/2810 is

LCM of Numerators i.e. for 3225,2430 is 522450

GCF of denominators i.e. for 438,2810 is 2.

Thus, LCM of Fractions is 261225.Finally, LCM of Fractions for 3225/438, 2430/2810 is 261225.