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LCM of 481, 465, 780, 620

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


Find the LCM of 481, 465, 780, 620 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 481, 465, 780, 620. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 481,465,780,620

Given numbers are 481,465,780,620

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

The LCM of 481,465,780,620 is 894660.

Find LCM of 481,465,780,620 with Prime Factorization


2 481, 465, 780, 620
2 481, 465, 390, 310
3 481, 465, 195, 155
5 481, 155, 65, 155
13 481, 31, 13, 31
31 37, 31, 1, 31
37, 1, 1, 1

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

2 x 2 x 3 x 5 x 13 x 31 x 37 x 1 x 1 x 1 = 894660

Therefore, the lowest common multiple of 481,465,780,620 is 894660.

LCM Formula to Find Lowest Common Multiple of 481,465,780,620

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.

481 x 465 x 780 x 620 = 108164394000

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.

481 : 1, 13, 37, 481

465 : 1, 3, 5, 15, 31, 93, 155, 465

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

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,465,780,620, is 1.

Now, the common factors can be found like this.

481:13x 37

465:3x 5x 31

780:2x 2x 3x 5x 13

620:2x 2x 5x 31

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 3x 5x 5x 13x 31 = 120900

Therefore, the value for common factors is 120900.

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 = 108164394000/(1x120900)

LCM = 108164394000/120900

LCM = 894660

Thus, we can understand that the LCM of 481,465,780,620 is 894660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 481, 465, 780, 620

1. What is the LCM of 481, 465, 780, 620?

Answer: LCM of 481, 465, 780, 620 is 894660.

2. How to calculate the LCM of 481, 465, 780, 620?

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 481, 465, 780, 620.

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}.