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LCM of 598, 811, 576, 900, 639

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


Find the LCM of 598, 811, 576, 900, 639 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 598, 811, 576, 900, 639. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,811,576,900,639

Given numbers are 598,811,576,900,639

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

The LCM of 598,811,576,900,639 is 247920753600.

Find LCM of 598,811,576,900,639 with Prime Factorization


2 598, 811, 576, 900, 639
2 299, 811, 288, 450, 639
3 299, 811, 144, 225, 639
3 299, 811, 48, 75, 213
299, 811, 16, 25, 71

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

2 x 2 x 3 x 3 x 299 x 811 x 16 x 25 x 71 = 247920753600

Therefore, the lowest common multiple of 598,811,576,900,639 is 247920753600.

LCM Formula to Find Lowest Common Multiple of 598,811,576,900,639

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.

598 x 811 x 576 x 900 x 639 = 160652648332800

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.

598 : 1, 2, 13, 23, 26, 46, 299, 598

811 : 1, 811

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

639 : 1, 3, 9, 71, 213, 639

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,811,576,900,639, is 1.

Now, the common factors can be found like this.

598:2x 13x 23

811:811

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

900:2x 2x 3x 3x 5x 5

639:3x 3x 71

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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 160652648332800/(1x648)

LCM = 160652648332800/648

LCM = 247920753600

Thus, we can understand that the LCM of 598,811,576,900,639 is 247920753600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 811, 576, 900, 639

1. What is the LCM of 598, 811, 576, 900, 639?

Answer: LCM of 598, 811, 576, 900, 639 is 247920753600.

2. How to calculate the LCM of 598, 811, 576, 900, 639?

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 598, 811, 576, 900, 639.

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}.