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LCM of 671, 793, 197, 384

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


Find the LCM of 671, 793, 197, 384 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 671, 793, 197, 384. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 671,793,197,384

Given numbers are 671,793,197,384

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

The LCM of 671,793,197,384 is 659877504.

Find LCM of 671,793,197,384 with Prime Factorization


61 671, 793, 197, 384
11, 13, 197, 384

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

61 x 11 x 13 x 197 x 384 = 659877504

Therefore, the lowest common multiple of 671,793,197,384 is 659877504.

LCM Formula to Find Lowest Common Multiple of 671,793,197,384

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.

671 x 793 x 197 x 384 = 40252527744

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.

671 : 1, 11, 61, 671

793 : 1, 13, 61, 793

197 : 1, 197

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,793,197,384, is 1.

Now, the common factors can be found like this.

671:11x 61

793:13x 61

197:197

384:2x 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.

61 = 61

Therefore, the value for common factors is 61.

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 = 40252527744/(1x61)

LCM = 40252527744/61

LCM = 659877504

Thus, we can understand that the LCM of 671,793,197,384 is 659877504.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 671, 793, 197, 384

1. What is the LCM of 671, 793, 197, 384?

Answer: LCM of 671, 793, 197, 384 is 659877504.

2. How to calculate the LCM of 671, 793, 197, 384?

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 671, 793, 197, 384.

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}.