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LCM of 425, 563, 398, 315, 576

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


Find the LCM of 425, 563, 398, 315, 576 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 425, 563, 398, 315, 576. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 425,563,398,315,576

Given numbers are 425,563,398,315,576

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

The LCM of 425,563,398,315,576 is 191986603200.

Find LCM of 425,563,398,315,576 with Prime Factorization


2 425, 563, 398, 315, 576
3 425, 563, 199, 315, 288
3 425, 563, 199, 105, 96
5 425, 563, 199, 35, 32
85, 563, 199, 7, 32

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

2 x 3 x 3 x 5 x 85 x 563 x 199 x 7 x 32 = 191986603200

Therefore, the lowest common multiple of 425,563,398,315,576 is 191986603200.

LCM Formula to Find Lowest Common Multiple of 425,563,398,315,576

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.

425 x 563 x 398 x 315 x 576 = 17278794288000

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.

425 : 1, 5, 17, 25, 85, 425

563 : 1, 563

398 : 1, 2, 199, 398

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 425,563,398,315,576, is 1.

Now, the common factors can be found like this.

425:5x 5x 17

563:563

398:2x 199

315:3x 3x 5x 7

576:2x 2x 2x 2x 2x 2x 3x 3

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 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 17278794288000/(1x90)

LCM = 17278794288000/90

LCM = 191986603200

Thus, we can understand that the LCM of 425,563,398,315,576 is 191986603200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 425, 563, 398, 315, 576

1. What is the LCM of 425, 563, 398, 315, 576?

Answer: LCM of 425, 563, 398, 315, 576 is 191986603200.

2. How to calculate the LCM of 425, 563, 398, 315, 576?

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 425, 563, 398, 315, 576.

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}.