LCM of 953, 115, 394, 598, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 953, 115, 394, 598, 165 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 953, 115, 394, 598, 165. So, keep reading to learn more.
Given numbers are 953,115,394,598,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 953,115,394,598,165 is 18524404470.
Find LCM of 953,115,394,598,165 with Prime Factorization
| 2 | 953, 115, 394, 598, 165 |
| 5 | 953, 115, 197, 299, 165 |
| 23 | 953, 23, 197, 299, 33 |
| 953, 1, 197, 13, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 953 x 1 x 197 x 13 x 33 = 18524404470
Therefore, the lowest common multiple of 953,115,394,598,165 is 18524404470.
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.
953 x 115 x 394 x 598 x 165 = 4260613028100
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.
953 : 1, 953
115 : 1, 5, 23, 115
394 : 1, 2, 197, 394
598 : 1, 2, 13, 23, 26, 46, 299, 598
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,115,394,598,165, is 1.
Now, the common factors can be found like this.
953:953
115:5x 23
394:2x 197
598:2x 13x 23
165:3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 23 = 230
Therefore, the value for common factors is 230.
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 = 4260613028100/(1x230)
LCM = 4260613028100/230
LCM = 18524404470
Thus, we can understand that the LCM of 953,115,394,598,165 is 18524404470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 953, 115, 394, 598, 165
1. What is the LCM of 953, 115, 394, 598, 165?
Answer: LCM of 953, 115, 394, 598, 165 is 18524404470.
2. How to calculate the LCM of 953, 115, 394, 598, 165?
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 953, 115, 394, 598, 165.
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}.