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LCM of 415, 869, 722, 996, 664

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


Find the LCM of 415, 869, 722, 996, 664 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 415, 869, 722, 996, 664. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 415,869,722,996,664

Given numbers are 415,869,722,996,664

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

The LCM of 415,869,722,996,664 is 3124541640.

Find LCM of 415,869,722,996,664 with Prime Factorization


2 415, 869, 722, 996, 664
2 415, 869, 361, 498, 332
83 415, 869, 361, 249, 166
5, 869, 361, 3, 2

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

2 x 2 x 83 x 5 x 869 x 361 x 3 x 2 = 3124541640

Therefore, the lowest common multiple of 415,869,722,996,664 is 3124541640.

LCM Formula to Find Lowest Common Multiple of 415,869,722,996,664

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.

415 x 869 x 722 x 996 x 664 = 172199738863680

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.

415 : 1, 5, 83, 415

869 : 1, 11, 79, 869

722 : 1, 2, 19, 38, 361, 722

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

664 : 1, 2, 4, 8, 83, 166, 332, 664

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,869,722,996,664, is 1.

Now, the common factors can be found like this.

415:5x 83

869:11x 79

722:2x 19x 19

996:2x 2x 3x 83

664:2x 2x 2x 83

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 83x 83 = 55112

Therefore, the value for common factors is 55112.

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 = 172199738863680/(1x55112)

LCM = 172199738863680/55112

LCM = 3124541640

Thus, we can understand that the LCM of 415,869,722,996,664 is 3124541640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 415, 869, 722, 996, 664

1. What is the LCM of 415, 869, 722, 996, 664?

Answer: LCM of 415, 869, 722, 996, 664 is 3124541640.

2. How to calculate the LCM of 415, 869, 722, 996, 664?

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 415, 869, 722, 996, 664.

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}.