Least Common Multiple of 1812/352, 9609/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1812/352, 9609/228 quickly i.e. 1450959 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1812/352, 9609/228 is 1450959.

LCM(1812/352, 9609/228) = 1450959

LCM of 1812/352, 9609/228

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 1812/352,9609/228

Given numbers are 1812/352,9609/228

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 1812,9609

Least Common Multiple of Numerators i.e. LCM of 1812,9609 is 5803836.

GCF of Denominators means GCF of 352,228 as per the given fractions.

GCF of 352,228 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1812,9609

LCM of Fractions 1812/352,9609/228 is 1450959

3 1812, 9609
604, 3203

∴ So the LCM of the given numbers is 3 x 604 x 3203 = 5803836

Least Common Multiple of 1812,9609 with GCF Formula

Least Common Multiple of 1812,9609 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 1812,9609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1812,9609) = 3

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

GCF(1812,9609) x common factors =3 x 1 = 3

LCM(1812,9609) = ( 1812 × 9609 ) / 3

LCM(1812,9609) = 17411508 / 3

LCM(1812,9609) = 5803836


Lets's calculate GCF of 352,228

2 352, 228
2 176, 114
88, 57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5803836/4

Therefore the LCM of Fractions 1812/352,9609/228 is 1450959

Greatest Common Factor of 352,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,228 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 352,228 . The biggest common factor number is the GCF number.
So the greatest common factor 352,228 is 4.


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 1812/352, 9609/228

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 1812/352, 9609/228?

Answer: LCM of Numerators as per given numbers 1812/352, 9609/228 is

LCM of Numerators i.e. for 1812,9609 is 5803836

GCF of denominators i.e. for 352,228 is 4.

Thus, LCM of Fractions is 1450959.Finally, LCM of Fractions for 1812/352, 9609/228 is 1450959.