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LCM of 965, 589, 494, 390

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


Find the LCM of 965, 589, 494, 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 965, 589, 494, 390. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 965,589,494,390

Given numbers are 965,589,494,390

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

The LCM of 965,589,494,390 is 44334030.

Find LCM of 965,589,494,390 with Prime Factorization


2 965, 589, 494, 390
5 965, 589, 247, 195
13 193, 589, 247, 39
19 193, 589, 19, 3
193, 31, 1, 3

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

2 x 5 x 13 x 19 x 193 x 31 x 1 x 3 = 44334030

Therefore, the lowest common multiple of 965,589,494,390 is 44334030.

LCM Formula to Find Lowest Common Multiple of 965,589,494,390

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.

965 x 589 x 494 x 390 = 109505054100

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.

965 : 1, 5, 193, 965

589 : 1, 19, 31, 589

494 : 1, 2, 13, 19, 26, 38, 247, 494

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 965,589,494,390, is 1.

Now, the common factors can be found like this.

965:5x 193

589:19x 31

494:2x 13x 19

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 5x 13x 19 = 2470

Therefore, the value for common factors is 2470.

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 = 109505054100/(1x2470)

LCM = 109505054100/2470

LCM = 44334030

Thus, we can understand that the LCM of 965,589,494,390 is 44334030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 965, 589, 494, 390

1. What is the LCM of 965, 589, 494, 390?

Answer: LCM of 965, 589, 494, 390 is 44334030.

2. How to calculate the LCM of 965, 589, 494, 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 965, 589, 494, 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}.