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LCM of 768, 512, 963, 802

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


Find the LCM of 768, 512, 963, 802 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 768, 512, 963, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 768,512,963,802

Given numbers are 768,512,963,802

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

The LCM of 768,512,963,802 is 197715456.

Find LCM of 768,512,963,802 with Prime Factorization


2 768, 512, 963, 802
2 384, 256, 963, 401
2 192, 128, 963, 401
2 96, 64, 963, 401
2 48, 32, 963, 401
2 24, 16, 963, 401
2 12, 8, 963, 401
2 6, 4, 963, 401
3 3, 2, 963, 401
1, 2, 321, 401

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1 x 2 x 321 x 401 = 197715456

Therefore, the lowest common multiple of 768,512,963,802 is 197715456.

LCM Formula to Find Lowest Common Multiple of 768,512,963,802

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.

768 x 512 x 963 x 802 = 303690940416

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

963 : 1, 3, 9, 107, 321, 963

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,512,963,802, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

512:2x 2x 2x 2x 2x 2x 2x 2x 2

963:3x 3x 107

802:2x 401

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 2x 2x 3 = 1536

Therefore, the value for common factors is 1536.

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 = 303690940416/(1x1536)

LCM = 303690940416/1536

LCM = 197715456

Thus, we can understand that the LCM of 768,512,963,802 is 197715456.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 768, 512, 963, 802

1. What is the LCM of 768, 512, 963, 802?

Answer: LCM of 768, 512, 963, 802 is 197715456.

2. How to calculate the LCM of 768, 512, 963, 802?

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 768, 512, 963, 802.

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}.