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LCM of 807, 977, 796, 390

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


Find the LCM of 807, 977, 796, 390 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 807, 977, 796, 390. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 807,977,796,390

Given numbers are 807,977,796,390

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

The LCM of 807,977,796,390 is 40793833860.

Find LCM of 807,977,796,390 with Prime Factorization


2 807, 977, 796, 390
3 807, 977, 398, 195
269, 977, 398, 65

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

2 x 3 x 269 x 977 x 398 x 65 = 40793833860

Therefore, the lowest common multiple of 807,977,796,390 is 40793833860.

LCM Formula to Find Lowest Common Multiple of 807,977,796,390

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.

807 x 977 x 796 x 390 = 244763003160

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.

807 : 1, 3, 269, 807

977 : 1, 977

796 : 1, 2, 4, 199, 398, 796

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,977,796,390, is 1.

Now, the common factors can be found like this.

807:3x 269

977:977

796:2x 2x 199

390:2x 3x 5x 13

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 244763003160/(1x6)

LCM = 244763003160/6

LCM = 40793833860

Thus, we can understand that the LCM of 807,977,796,390 is 40793833860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 807, 977, 796, 390

1. What is the LCM of 807, 977, 796, 390?

Answer: LCM of 807, 977, 796, 390 is 40793833860.

2. How to calculate the LCM of 807, 977, 796, 390?

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 807, 977, 796, 390.

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}.