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LCM of 789, 260, 990, 320

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


Find the LCM of 789, 260, 990, 320 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 789, 260, 990, 320. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 789,260,990,320

Given numbers are 789,260,990,320

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

The LCM of 789,260,990,320 is 108313920.

Find LCM of 789,260,990,320 with Prime Factorization


2 789, 260, 990, 320
2 789, 130, 495, 160
3 789, 65, 495, 80
5 263, 65, 165, 80
263, 13, 33, 16

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

2 x 2 x 3 x 5 x 263 x 13 x 33 x 16 = 108313920

Therefore, the lowest common multiple of 789,260,990,320 is 108313920.

LCM Formula to Find Lowest Common Multiple of 789,260,990,320

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.

789 x 260 x 990 x 320 = 64988352000

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.

789 : 1, 3, 263, 789

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,260,990,320, is 1.

Now, the common factors can be found like this.

789:3x 263

260:2x 2x 5x 13

990:2x 3x 3x 5x 11

320:2x 2x 2x 2x 2x 2x 5

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

2x 2x 2x 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 64988352000/(1x600)

LCM = 64988352000/600

LCM = 108313920

Thus, we can understand that the LCM of 789,260,990,320 is 108313920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 789, 260, 990, 320

1. What is the LCM of 789, 260, 990, 320?

Answer: LCM of 789, 260, 990, 320 is 108313920.

2. How to calculate the LCM of 789, 260, 990, 320?

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 789, 260, 990, 320.

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}.