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LCM of 780, 652, 912, 810

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


Find the LCM of 780, 652, 912, 810 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 780, 652, 912, 810. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 780,652,912,810

Given numbers are 780,652,912,810

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

The LCM of 780,652,912,810 is 260891280.

Find LCM of 780,652,912,810 with Prime Factorization


2 780, 652, 912, 810
2 390, 326, 456, 405
3 195, 163, 228, 405
5 65, 163, 76, 135
13, 163, 76, 27

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

2 x 2 x 3 x 5 x 13 x 163 x 76 x 27 = 260891280

Therefore, the lowest common multiple of 780,652,912,810 is 260891280.

LCM Formula to Find Lowest Common Multiple of 780,652,912,810

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.

780 x 652 x 912 x 810 = 375683443200

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

652 : 1, 2, 4, 163, 326, 652

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,652,912,810, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

652:2x 2x 163

912:2x 2x 2x 2x 3x 19

810:2x 3x 3x 3x 3x 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 2x 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 375683443200/(2x720)

LCM = 375683443200/1440

LCM = 260891280

Thus, we can understand that the LCM of 780,652,912,810 is 260891280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 780, 652, 912, 810

1. What is the LCM of 780, 652, 912, 810?

Answer: LCM of 780, 652, 912, 810 is 260891280.

2. How to calculate the LCM of 780, 652, 912, 810?

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 780, 652, 912, 810.

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}.