LCM of 509, 906, 732, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 509, 906, 732, 400 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 509, 906, 732, 400. So, keep reading to learn more.
Given numbers are 509,906,732,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,906,732,400 is 5626078800.
Find LCM of 509,906,732,400 with Prime Factorization
| 2 | 509, 906, 732, 400 |
| 2 | 509, 453, 366, 200 |
| 3 | 509, 453, 183, 100 |
| 509, 151, 61, 100 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 509 x 151 x 61 x 100 = 5626078800
Therefore, the lowest common multiple of 509,906,732,400 is 5626078800.
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.
509 x 906 x 732 x 400 = 135025891200
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.
509 : 1, 509
906 : 1, 2, 3, 6, 151, 302, 453, 906
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,906,732,400, is 1.
Now, the common factors can be found like this.
509:509
906:2x 3x 151
732:2x 2x 3x 61
400:2x 2x 2x 2x 5x 5
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 3 = 24
Therefore, the value for common factors is 24.
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 = 135025891200/(1x24)
LCM = 135025891200/24
LCM = 5626078800
Thus, we can understand that the LCM of 509,906,732,400 is 5626078800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 509, 906, 732, 400
1. What is the LCM of 509, 906, 732, 400?
Answer: LCM of 509, 906, 732, 400 is 5626078800.
2. How to calculate the LCM of 509, 906, 732, 400?
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 509, 906, 732, 400.
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}.