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LCM of 412, 508, 452, 830

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


Find the LCM of 412, 508, 452, 830 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 412, 508, 452, 830. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 412,508,452,830

Given numbers are 412,508,452,830

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

The LCM of 412,508,452,830 is 2453733980.

Find LCM of 412,508,452,830 with Prime Factorization


2 412, 508, 452, 830
2 206, 254, 226, 415
103, 127, 113, 415

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

2 x 2 x 103 x 127 x 113 x 415 = 2453733980

Therefore, the lowest common multiple of 412,508,452,830 is 2453733980.

LCM Formula to Find Lowest Common Multiple of 412,508,452,830

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.

412 x 508 x 452 x 830 = 78519487360

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.

412 : 1, 2, 4, 103, 206, 412

508 : 1, 2, 4, 127, 254, 508

452 : 1, 2, 4, 113, 226, 452

830 : 1, 2, 5, 10, 83, 166, 415, 830

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,508,452,830, is 2.

Now, the common factors can be found like this.

412:2x 2x 103

508:2x 2x 127

452:2x 2x 113

830:2x 5x 83

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 2 = 16

Therefore, the value for common factors is 16.

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 = 78519487360/(2x16)

LCM = 78519487360/32

LCM = 2453733980

Thus, we can understand that the LCM of 412,508,452,830 is 2453733980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 412, 508, 452, 830

1. What is the LCM of 412, 508, 452, 830?

Answer: LCM of 412, 508, 452, 830 is 2453733980.

2. How to calculate the LCM of 412, 508, 452, 830?

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 412, 508, 452, 830.

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}.