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LCM of 530, 400, 646, 915

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


Find the LCM of 530, 400, 646, 915 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 530, 400, 646, 915. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 530,400,646,915

Given numbers are 530,400,646,915

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

The LCM of 530,400,646,915 is 1253110800.

Find LCM of 530,400,646,915 with Prime Factorization


2 530, 400, 646, 915
5 265, 200, 323, 915
53, 40, 323, 183

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

2 x 5 x 53 x 40 x 323 x 183 = 1253110800

Therefore, the lowest common multiple of 530,400,646,915 is 1253110800.

LCM Formula to Find Lowest Common Multiple of 530,400,646,915

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.

530 x 400 x 646 x 915 = 125311080000

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.

530 : 1, 2, 5, 10, 53, 106, 265, 530

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

646 : 1, 2, 17, 19, 34, 38, 323, 646

915 : 1, 3, 5, 15, 61, 183, 305, 915

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,400,646,915, is 1.

Now, the common factors can be found like this.

530:2x 5x 53

400:2x 2x 2x 2x 5x 5

646:2x 17x 19

915:3x 5x 61

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 125311080000/(1x100)

LCM = 125311080000/100

LCM = 1253110800

Thus, we can understand that the LCM of 530,400,646,915 is 1253110800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 530, 400, 646, 915

1. What is the LCM of 530, 400, 646, 915?

Answer: LCM of 530, 400, 646, 915 is 1253110800.

2. How to calculate the LCM of 530, 400, 646, 915?

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 530, 400, 646, 915.

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}.