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LCM of 303, 221, 637, 328

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 303, 221, 637, 328 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 303, 221, 637, 328. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,221,637,328

Given numbers are 303,221,637,328

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 303,221,637,328 is 1076229336.

Find LCM of 303,221,637,328 with Prime Factorization


13 303, 221, 637, 328
303, 17, 49, 328

Multiply the prime numbers at the bottom and the left side.

13 x 303 x 17 x 49 x 328 = 1076229336

Therefore, the lowest common multiple of 303,221,637,328 is 1076229336.

LCM Formula to Find Lowest Common Multiple of 303,221,637,328

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

303 x 221 x 637 x 328 = 13990981368

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

303 : 1, 3, 101, 303

221 : 1, 13, 17, 221

637 : 1, 7, 13, 49, 91, 637

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,221,637,328, is 1.

Now, the common factors can be found like this.

303:3x 101

221:13x 17

637:7x 7x 13

328:2x 2x 2x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 13990981368/(1x13)

LCM = 13990981368/13

LCM = 1076229336

Thus, we can understand that the LCM of 303,221,637,328 is 1076229336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 221, 637, 328

1. What is the LCM of 303, 221, 637, 328?

Answer: LCM of 303, 221, 637, 328 is 1076229336.

2. How to calculate the LCM of 303, 221, 637, 328?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 303, 221, 637, 328.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.