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LCM of 720, 943, 986, 690, 486

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


Find the LCM of 720, 943, 986, 690, 486 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 720, 943, 986, 690, 486. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,943,986,690,486

Given numbers are 720,943,986,690,486

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

The LCM of 720,943,986,690,486 is 9037636560.

Find LCM of 720,943,986,690,486 with Prime Factorization


2 720, 943, 986, 690, 486
3 360, 943, 493, 345, 243
3 120, 943, 493, 115, 81
5 40, 943, 493, 115, 27
23 8, 943, 493, 23, 27
8, 41, 493, 1, 27

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

2 x 3 x 3 x 5 x 23 x 8 x 41 x 493 x 1 x 27 = 9037636560

Therefore, the lowest common multiple of 720,943,986,690,486 is 9037636560.

LCM Formula to Find Lowest Common Multiple of 720,943,986,690,486

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.

720 x 943 x 986 x 690 x 486 = 224494892150400

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

943 : 1, 23, 41, 943

986 : 1, 2, 17, 29, 34, 58, 493, 986

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,943,986,690,486, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

943:23x 41

986:2x 17x 29

690:2x 3x 5x 23

486:2x 3x 3x 3x 3x 3

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 3x 3x 5x 23 = 24840

Therefore, the value for common factors is 24840.

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 = 224494892150400/(1x24840)

LCM = 224494892150400/24840

LCM = 9037636560

Thus, we can understand that the LCM of 720,943,986,690,486 is 9037636560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 720, 943, 986, 690, 486

1. What is the LCM of 720, 943, 986, 690, 486?

Answer: LCM of 720, 943, 986, 690, 486 is 9037636560.

2. How to calculate the LCM of 720, 943, 986, 690, 486?

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 720, 943, 986, 690, 486.

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}.