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LCM of 851, 851, 588, 480

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


Find the LCM of 851, 851, 588, 480 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 851, 851, 588, 480. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 851,851,588,480

Given numbers are 851,851,588,480

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

The LCM of 851,851,588,480 is 20015520.

Find LCM of 851,851,588,480 with Prime Factorization


2 851, 851, 588, 480
2 851, 851, 294, 240
3 851, 851, 147, 120
23 851, 851, 49, 40
37 37, 37, 49, 40
1, 1, 49, 40

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

2 x 2 x 3 x 23 x 37 x 1 x 1 x 49 x 40 = 20015520

Therefore, the lowest common multiple of 851,851,588,480 is 20015520.

LCM Formula to Find Lowest Common Multiple of 851,851,588,480

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.

851 x 851 x 588 x 480 = 204398490240

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.

851 : 1, 23, 37, 851

851 : 1, 23, 37, 851

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,851,588,480, is 1.

Now, the common factors can be found like this.

851:23x 37

851:23x 37

588:2x 2x 3x 7x 7

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

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 3x 23x 37 = 10212

Therefore, the value for common factors is 10212.

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 = 204398490240/(1x10212)

LCM = 204398490240/10212

LCM = 20015520

Thus, we can understand that the LCM of 851,851,588,480 is 20015520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 851, 851, 588, 480

1. What is the LCM of 851, 851, 588, 480?

Answer: LCM of 851, 851, 588, 480 is 20015520.

2. How to calculate the LCM of 851, 851, 588, 480?

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 851, 851, 588, 480.

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}.