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LCM of 328, 663, 555, 632

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


Find the LCM of 328, 663, 555, 632 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 328, 663, 555, 632. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 328,663,555,632

Given numbers are 328,663,555,632

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

The LCM of 328,663,555,632 is 3178236360.

Find LCM of 328,663,555,632 with Prime Factorization


2 328, 663, 555, 632
2 164, 663, 555, 316
2 82, 663, 555, 158
3 41, 663, 555, 79
41, 221, 185, 79

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

2 x 2 x 2 x 3 x 41 x 221 x 185 x 79 = 3178236360

Therefore, the lowest common multiple of 328,663,555,632 is 3178236360.

LCM Formula to Find Lowest Common Multiple of 328,663,555,632

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.

328 x 663 x 555 x 632 = 76277672640

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.

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

663 : 1, 3, 13, 17, 39, 51, 221, 663

555 : 1, 3, 5, 15, 37, 111, 185, 555

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,663,555,632, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

663:3x 13x 17

555:3x 5x 37

632:2x 2x 2x 79

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 76277672640/(1x24)

LCM = 76277672640/24

LCM = 3178236360

Thus, we can understand that the LCM of 328,663,555,632 is 3178236360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 328, 663, 555, 632

1. What is the LCM of 328, 663, 555, 632?

Answer: LCM of 328, 663, 555, 632 is 3178236360.

2. How to calculate the LCM of 328, 663, 555, 632?

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 328, 663, 555, 632.

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}.