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LCM of 699, 979, 225, 583, 462

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


Find the LCM of 699, 979, 225, 583, 462 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 699, 979, 225, 583, 462. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 699,979,225,583,462

Given numbers are 699,979,225,583,462

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

The LCM of 699,979,225,583,462 is 38082463650.

Find LCM of 699,979,225,583,462 with Prime Factorization


3 699, 979, 225, 583, 462
11 233, 979, 75, 583, 154
233, 89, 75, 53, 14

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

3 x 11 x 233 x 89 x 75 x 53 x 14 = 38082463650

Therefore, the lowest common multiple of 699,979,225,583,462 is 38082463650.

LCM Formula to Find Lowest Common Multiple of 699,979,225,583,462

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.

699 x 979 x 225 x 583 x 462 = 41471802914850

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.

699 : 1, 3, 233, 699

979 : 1, 11, 89, 979

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

583 : 1, 11, 53, 583

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,979,225,583,462, is 1.

Now, the common factors can be found like this.

699:3x 233

979:11x 89

225:3x 3x 5x 5

583:11x 53

462:2x 3x 7x 11

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

3x 3x 11x 11 = 1089

Therefore, the value for common factors is 1089.

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 = 41471802914850/(1x1089)

LCM = 41471802914850/1089

LCM = 38082463650

Thus, we can understand that the LCM of 699,979,225,583,462 is 38082463650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 699, 979, 225, 583, 462

1. What is the LCM of 699, 979, 225, 583, 462?

Answer: LCM of 699, 979, 225, 583, 462 is 38082463650.

2. How to calculate the LCM of 699, 979, 225, 583, 462?

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 699, 979, 225, 583, 462.

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}.