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LCM of 360, 399, 597, 996, 609

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


Find the LCM of 360, 399, 597, 996, 609 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 360, 399, 597, 996, 609. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 360,399,597,996,609

Given numbers are 360,399,597,996,609

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

The LCM of 360,399,597,996,609 is 22934184840.

Find LCM of 360,399,597,996,609 with Prime Factorization


2 360, 399, 597, 996, 609
2 180, 399, 597, 498, 609
3 90, 399, 597, 249, 609
7 30, 133, 199, 83, 203
30, 19, 199, 83, 29

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

2 x 2 x 3 x 7 x 30 x 19 x 199 x 83 x 29 = 22934184840

Therefore, the lowest common multiple of 360,399,597,996,609 is 22934184840.

LCM Formula to Find Lowest Common Multiple of 360,399,597,996,609

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.

360 x 399 x 597 x 996 x 609 = 52014731217120

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

399 : 1, 3, 7, 19, 21, 57, 133, 399

597 : 1, 3, 199, 597

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

609 : 1, 3, 7, 21, 29, 87, 203, 609

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,399,597,996,609, is 3.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

399:3x 7x 19

597:3x 199

996:2x 2x 3x 83

609:3x 7x 29

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 3x 3x 3x 7 = 756

Therefore, the value for common factors is 756.

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 = 52014731217120/(3x756)

LCM = 52014731217120/2268

LCM = 22934184840

Thus, we can understand that the LCM of 360,399,597,996,609 is 22934184840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 360, 399, 597, 996, 609

1. What is the LCM of 360, 399, 597, 996, 609?

Answer: LCM of 360, 399, 597, 996, 609 is 22934184840.

2. How to calculate the LCM of 360, 399, 597, 996, 609?

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 360, 399, 597, 996, 609.

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}.