LCM of 515, 609, 824, 916, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 609, 824, 916, 989 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 515, 609, 824, 916, 989. So, keep reading to learn more.
Given numbers are 515,609,824,916,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,609,824,916,989 is 568258947480.
Find LCM of 515,609,824,916,989 with Prime Factorization
| 2 | 515, 609, 824, 916, 989 |
| 2 | 515, 609, 412, 458, 989 |
| 103 | 515, 609, 206, 229, 989 |
| 5, 609, 2, 229, 989 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 103 x 5 x 609 x 2 x 229 x 989 = 568258947480
Therefore, the lowest common multiple of 515,609,824,916,989 is 568258947480.
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.
515 x 609 x 824 x 916 x 989 = 234122686361760
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.
515 : 1, 5, 103, 515
609 : 1, 3, 7, 21, 29, 87, 203, 609
824 : 1, 2, 4, 8, 103, 206, 412, 824
916 : 1, 2, 4, 229, 458, 916
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,609,824,916,989, is 1.
Now, the common factors can be found like this.
515:5x 103
609:3x 7x 29
824:2x 2x 2x 103
916:2x 2x 229
989:23x 43
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 103 = 412
Therefore, the value for common factors is 412.
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 = 234122686361760/(1x412)
LCM = 234122686361760/412
LCM = 568258947480
Thus, we can understand that the LCM of 515,609,824,916,989 is 568258947480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 515, 609, 824, 916, 989
1. What is the LCM of 515, 609, 824, 916, 989?
Answer: LCM of 515, 609, 824, 916, 989 is 568258947480.
2. How to calculate the LCM of 515, 609, 824, 916, 989?
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 515, 609, 824, 916, 989.
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}.