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LCM of 572, 803, 970, 143, 587

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


Find the LCM of 572, 803, 970, 143, 587 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 572, 803, 970, 143, 587. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,803,970,143,587

Given numbers are 572,803,970,143,587

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

The LCM of 572,803,970,143,587 is 11887724420.

Find LCM of 572,803,970,143,587 with Prime Factorization


2 572, 803, 970, 143, 587
11 286, 803, 485, 143, 587
13 26, 73, 485, 13, 587
2, 73, 485, 1, 587

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

2 x 11 x 13 x 2 x 73 x 485 x 1 x 587 = 11887724420

Therefore, the lowest common multiple of 572,803,970,143,587 is 11887724420.

LCM Formula to Find Lowest Common Multiple of 572,803,970,143,587

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.

572 x 803 x 970 x 143 x 587 = 37398781025320

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.

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

803 : 1, 11, 73, 803

970 : 1, 2, 5, 10, 97, 194, 485, 970

143 : 1, 11, 13, 143

587 : 1, 587

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,803,970,143,587, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

803:11x 73

970:2x 5x 97

143:11x 13

587:587

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

2x 11x 11x 13 = 3146

Therefore, the value for common factors is 3146.

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 = 37398781025320/(1x3146)

LCM = 37398781025320/3146

LCM = 11887724420

Thus, we can understand that the LCM of 572,803,970,143,587 is 11887724420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 803, 970, 143, 587

1. What is the LCM of 572, 803, 970, 143, 587?

Answer: LCM of 572, 803, 970, 143, 587 is 11887724420.

2. How to calculate the LCM of 572, 803, 970, 143, 587?

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 572, 803, 970, 143, 587.

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}.