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LCM of 382, 803, 148, 793

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


Find the LCM of 382, 803, 148, 793 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 382, 803, 148, 793. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,803,148,793

Given numbers are 382,803,148,793

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

The LCM of 382,803,148,793 is 18000468772.

Find LCM of 382,803,148,793 with Prime Factorization


2 382, 803, 148, 793
191, 803, 74, 793

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

2 x 191 x 803 x 74 x 793 = 18000468772

Therefore, the lowest common multiple of 382,803,148,793 is 18000468772.

LCM Formula to Find Lowest Common Multiple of 382,803,148,793

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.

382 x 803 x 148 x 793 = 36000937544

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.

382 : 1, 2, 191, 382

803 : 1, 11, 73, 803

148 : 1, 2, 4, 37, 74, 148

793 : 1, 13, 61, 793

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,803,148,793, is 1.

Now, the common factors can be found like this.

382:2x 191

803:11x 73

148:2x 2x 37

793:13x 61

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

2 = 2

Therefore, the value for common factors is 2.

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 = 36000937544/(1x2)

LCM = 36000937544/2

LCM = 18000468772

Thus, we can understand that the LCM of 382,803,148,793 is 18000468772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 803, 148, 793

1. What is the LCM of 382, 803, 148, 793?

Answer: LCM of 382, 803, 148, 793 is 18000468772.

2. How to calculate the LCM of 382, 803, 148, 793?

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 382, 803, 148, 793.

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}.