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LCM of 508, 800, 480, 870

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


Find the LCM of 508, 800, 480, 870 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 508, 800, 480, 870. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 508,800,480,870

Given numbers are 508,800,480,870

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

The LCM of 508,800,480,870 is 8839200.

Find LCM of 508,800,480,870 with Prime Factorization


2 508, 800, 480, 870
2 254, 400, 240, 435
2 127, 200, 120, 435
2 127, 100, 60, 435
2 127, 50, 30, 435
3 127, 25, 15, 435
5 127, 25, 5, 145
127, 1, 5, 29

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 127 x 1 x 5 x 29 = 8839200

Therefore, the lowest common multiple of 508,800,480,870 is 8839200.

LCM Formula to Find Lowest Common Multiple of 508,800,480,870

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.

508 x 800 x 480 x 870 = 169712640000

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.

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

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,800,480,870, is 2.

Now, the common factors can be found like this.

508:2x 2x 127

800:2x 2x 2x 2x 2x 5x 5

480:2x 2x 2x 2x 2x 3x 5

870:2x 3x 5x 29

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 2x 2x 2x 2x 3x 5x 5 = 9600

Therefore, the value for common factors is 9600.

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 = 169712640000/(2x9600)

LCM = 169712640000/19200

LCM = 8839200

Thus, we can understand that the LCM of 508,800,480,870 is 8839200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 508, 800, 480, 870

1. What is the LCM of 508, 800, 480, 870?

Answer: LCM of 508, 800, 480, 870 is 8839200.

2. How to calculate the LCM of 508, 800, 480, 870?

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 508, 800, 480, 870.

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}.