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LCM of 515, 352, 506, 555

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


Find the LCM of 515, 352, 506, 555 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 515, 352, 506, 555. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 515,352,506,555

Given numbers are 515,352,506,555

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

The LCM of 515,352,506,555 is 462807840.

Find LCM of 515,352,506,555 with Prime Factorization


2 515, 352, 506, 555
5 515, 176, 253, 555
11 103, 176, 253, 111
103, 16, 23, 111

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

2 x 5 x 11 x 103 x 16 x 23 x 111 = 462807840

Therefore, the lowest common multiple of 515,352,506,555 is 462807840.

LCM Formula to Find Lowest Common Multiple of 515,352,506,555

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.

515 x 352 x 506 x 555 = 50908862400

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.

515 : 1, 5, 103, 515

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,352,506,555, is 1.

Now, the common factors can be found like this.

515:5x 103

352:2x 2x 2x 2x 2x 11

506:2x 11x 23

555:3x 5x 37

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

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 50908862400/(1x110)

LCM = 50908862400/110

LCM = 462807840

Thus, we can understand that the LCM of 515,352,506,555 is 462807840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 515, 352, 506, 555

1. What is the LCM of 515, 352, 506, 555?

Answer: LCM of 515, 352, 506, 555 is 462807840.

2. How to calculate the LCM of 515, 352, 506, 555?

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 515, 352, 506, 555.

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}.