LCM of 515, 585, 962, 562, 333
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 585, 962, 562, 333 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, 585, 962, 562, 333. So, keep reading to learn more.
Given numbers are 515,585,962,562,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,585,962,562,333 is 1252942470.
Find LCM of 515,585,962,562,333 with Prime Factorization
| 2 | 515, 585, 962, 562, 333 |
| 3 | 515, 585, 481, 281, 333 |
| 3 | 515, 195, 481, 281, 111 |
| 5 | 515, 65, 481, 281, 37 |
| 13 | 103, 13, 481, 281, 37 |
| 37 | 103, 1, 37, 281, 37 |
| 103, 1, 1, 281, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 37 x 103 x 1 x 1 x 281 x 1 = 1252942470
Therefore, the lowest common multiple of 515,585,962,562,333 is 1252942470.
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 585 x 962 x 562 x 333 = 54239879526300
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
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
962 : 1, 2, 13, 26, 37, 74, 481, 962
562 : 1, 2, 281, 562
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,585,962,562,333, is 1.
Now, the common factors can be found like this.
515:5x 103
585:3x 3x 5x 13
962:2x 13x 37
562:2x 281
333:3x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 13x 37 = 43290
Therefore, the value for common factors is 43290.
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 = 54239879526300/(1x43290)
LCM = 54239879526300/43290
LCM = 1252942470
Thus, we can understand that the LCM of 515,585,962,562,333 is 1252942470.
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FAQs on LCM of 515, 585, 962, 562, 333
1. What is the LCM of 515, 585, 962, 562, 333?
Answer: LCM of 515, 585, 962, 562, 333 is 1252942470.
2. How to calculate the LCM of 515, 585, 962, 562, 333?
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, 585, 962, 562, 333.
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}.