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LCM of 421, 813, 793, 768

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


Find the LCM of 421, 813, 793, 768 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 421, 813, 793, 768. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 421,813,793,768

Given numbers are 421,813,793,768

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

The LCM of 421,813,793,768 is 69484157184.

Find LCM of 421,813,793,768 with Prime Factorization


3 421, 813, 793, 768
421, 271, 793, 256

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

3 x 421 x 271 x 793 x 256 = 69484157184

Therefore, the lowest common multiple of 421,813,793,768 is 69484157184.

LCM Formula to Find Lowest Common Multiple of 421,813,793,768

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.

421 x 813 x 793 x 768 = 208452471552

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.

421 : 1, 421

813 : 1, 3, 271, 813

793 : 1, 13, 61, 793

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,813,793,768, is 1.

Now, the common factors can be found like this.

421:421

813:3x 271

793:13x 61

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

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 208452471552/(1x3)

LCM = 208452471552/3

LCM = 69484157184

Thus, we can understand that the LCM of 421,813,793,768 is 69484157184.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 421, 813, 793, 768

1. What is the LCM of 421, 813, 793, 768?

Answer: LCM of 421, 813, 793, 768 is 69484157184.

2. How to calculate the LCM of 421, 813, 793, 768?

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 421, 813, 793, 768.

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}.