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LCM of 909, 912, 639, 802, 584

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


Find the LCM of 909, 912, 639, 802, 584 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 909, 912, 639, 802, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 909,912,639,802,584

Given numbers are 909,912,639,802,584

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

The LCM of 909,912,639,802,584 is 574332044688.

Find LCM of 909,912,639,802,584 with Prime Factorization


2 909, 912, 639, 802, 584
2 909, 456, 639, 401, 292
2 909, 228, 639, 401, 146
3 909, 114, 639, 401, 73
3 303, 38, 213, 401, 73
101, 38, 71, 401, 73

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

2 x 2 x 2 x 3 x 3 x 101 x 38 x 71 x 401 x 73 = 574332044688

Therefore, the lowest common multiple of 909,912,639,802,584 is 574332044688.

LCM Formula to Find Lowest Common Multiple of 909,912,639,802,584

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.

909 x 912 x 639 x 802 x 584 = 248111443305216

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.

909 : 1, 3, 9, 101, 303, 909

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

639 : 1, 3, 9, 71, 213, 639

802 : 1, 2, 401, 802

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,912,639,802,584, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

912:2x 2x 2x 2x 3x 19

639:3x 3x 71

802:2x 401

584:2x 2x 2x 73

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 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 248111443305216/(1x432)

LCM = 248111443305216/432

LCM = 574332044688

Thus, we can understand that the LCM of 909,912,639,802,584 is 574332044688.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 909, 912, 639, 802, 584

1. What is the LCM of 909, 912, 639, 802, 584?

Answer: LCM of 909, 912, 639, 802, 584 is 574332044688.

2. How to calculate the LCM of 909, 912, 639, 802, 584?

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 909, 912, 639, 802, 584.

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}.