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LCM of 215, 324, 590, 645

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


Find the LCM of 215, 324, 590, 645 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 215, 324, 590, 645. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 215,324,590,645

Given numbers are 215,324,590,645

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

The LCM of 215,324,590,645 is 4109940.

Find LCM of 215,324,590,645 with Prime Factorization


2 215, 324, 590, 645
3 215, 162, 295, 645
5 215, 54, 295, 215
43 43, 54, 59, 43
1, 54, 59, 1

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

2 x 3 x 5 x 43 x 1 x 54 x 59 x 1 = 4109940

Therefore, the lowest common multiple of 215,324,590,645 is 4109940.

LCM Formula to Find Lowest Common Multiple of 215,324,590,645

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.

215 x 324 x 590 x 645 = 26509113000

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.

215 : 1, 5, 43, 215

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

590 : 1, 2, 5, 10, 59, 118, 295, 590

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,324,590,645, is 1.

Now, the common factors can be found like this.

215:5x 43

324:2x 2x 3x 3x 3x 3

590:2x 5x 59

645:3x 5x 43

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

2x 3x 5x 5x 43 = 6450

Therefore, the value for common factors is 6450.

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 = 26509113000/(1x6450)

LCM = 26509113000/6450

LCM = 4109940

Thus, we can understand that the LCM of 215,324,590,645 is 4109940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 215, 324, 590, 645

1. What is the LCM of 215, 324, 590, 645?

Answer: LCM of 215, 324, 590, 645 is 4109940.

2. How to calculate the LCM of 215, 324, 590, 645?

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 215, 324, 590, 645.

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}.