LCM of 901, 162, 510, 515, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 162, 510, 515, 369 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 901, 162, 510, 515, 369. So, keep reading to learn more.
Given numbers are 901,162,510,515,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,162,510,515,369 is 3081987630.
Find LCM of 901,162,510,515,369 with Prime Factorization
| 2 | 901, 162, 510, 515, 369 |
| 3 | 901, 81, 255, 515, 369 |
| 3 | 901, 27, 85, 515, 123 |
| 5 | 901, 9, 85, 515, 41 |
| 17 | 901, 9, 17, 103, 41 |
| 53, 9, 1, 103, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 17 x 53 x 9 x 1 x 103 x 41 = 3081987630
Therefore, the lowest common multiple of 901,162,510,515,369 is 3081987630.
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.
901 x 162 x 510 x 515 x 369 = 14146323221700
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.
901 : 1, 17, 53, 901
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
515 : 1, 5, 103, 515
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,162,510,515,369, is 1.
Now, the common factors can be found like this.
901:17x 53
162:2x 3x 3x 3x 3
510:2x 3x 5x 17
515:5x 103
369:3x 3x 41
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 3x 5x 17 = 4590
Therefore, the value for common factors is 4590.
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 = 14146323221700/(1x4590)
LCM = 14146323221700/4590
LCM = 3081987630
Thus, we can understand that the LCM of 901,162,510,515,369 is 3081987630.
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FAQs on LCM of 901, 162, 510, 515, 369
1. What is the LCM of 901, 162, 510, 515, 369?
Answer: LCM of 901, 162, 510, 515, 369 is 3081987630.
2. How to calculate the LCM of 901, 162, 510, 515, 369?
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 901, 162, 510, 515, 369.
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}.