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LCM of 565, 988, 515, 780

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


Find the LCM of 565, 988, 515, 780 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 565, 988, 515, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,988,515,780

Given numbers are 565,988,515,780

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

The LCM of 565,988,515,780 is 172489980.

Find LCM of 565,988,515,780 with Prime Factorization


2 565, 988, 515, 780
2 565, 494, 515, 390
5 565, 247, 515, 195
13 113, 247, 103, 39
113, 19, 103, 3

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

2 x 2 x 5 x 13 x 113 x 19 x 103 x 3 = 172489980

Therefore, the lowest common multiple of 565,988,515,780 is 172489980.

LCM Formula to Find Lowest Common Multiple of 565,988,515,780

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.

565 x 988 x 515 x 780 = 224236974000

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.

565 : 1, 5, 113, 565

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

515 : 1, 5, 103, 515

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,988,515,780, is 1.

Now, the common factors can be found like this.

565:5x 113

988:2x 2x 13x 19

515:5x 103

780:2x 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 2x 5x 5x 13 = 1300

Therefore, the value for common factors is 1300.

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 = 224236974000/(1x1300)

LCM = 224236974000/1300

LCM = 172489980

Thus, we can understand that the LCM of 565,988,515,780 is 172489980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 988, 515, 780

1. What is the LCM of 565, 988, 515, 780?

Answer: LCM of 565, 988, 515, 780 is 172489980.

2. How to calculate the LCM of 565, 988, 515, 780?

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 565, 988, 515, 780.

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}.