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LCM of 239, 860, 870, 928, 999

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


Find the LCM of 239, 860, 870, 928, 999 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 239, 860, 870, 928, 999. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 239,860,870,928,999

Given numbers are 239,860,870,928,999

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

The LCM of 239,860,870,928,999 is 47637594720.

Find LCM of 239,860,870,928,999 with Prime Factorization


2 239, 860, 870, 928, 999
2 239, 430, 435, 464, 999
3 239, 215, 435, 232, 999
5 239, 215, 145, 232, 333
29 239, 43, 29, 232, 333
239, 43, 1, 8, 333

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

2 x 2 x 3 x 5 x 29 x 239 x 43 x 1 x 8 x 333 = 47637594720

Therefore, the lowest common multiple of 239,860,870,928,999 is 47637594720.

LCM Formula to Find Lowest Common Multiple of 239,860,870,928,999

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.

239 x 860 x 870 x 928 x 999 = 165778829625600

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.

239 : 1, 239

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

999 : 1, 3, 9, 27, 37, 111, 333, 999

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,860,870,928,999, is 1.

Now, the common factors can be found like this.

239:239

860:2x 2x 5x 43

870:2x 3x 5x 29

928:2x 2x 2x 2x 2x 29

999:3x 3x 3x 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 2x 2x 3x 5x 29 = 3480

Therefore, the value for common factors is 3480.

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 = 165778829625600/(1x3480)

LCM = 165778829625600/3480

LCM = 47637594720

Thus, we can understand that the LCM of 239,860,870,928,999 is 47637594720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 239, 860, 870, 928, 999

1. What is the LCM of 239, 860, 870, 928, 999?

Answer: LCM of 239, 860, 870, 928, 999 is 47637594720.

2. How to calculate the LCM of 239, 860, 870, 928, 999?

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 239, 860, 870, 928, 999.

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}.