LCM of 365, 115, 418, 575, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 365, 115, 418, 575, 946 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 365, 115, 418, 575, 946. So, keep reading to learn more.
Given numbers are 365,115,418,575,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 365,115,418,575,946 is 754458650.
Find LCM of 365,115,418,575,946 with Prime Factorization
| 2 | 365, 115, 418, 575, 946 |
| 5 | 365, 115, 209, 575, 473 |
| 11 | 73, 23, 209, 115, 473 |
| 23 | 73, 23, 19, 115, 43 |
| 73, 1, 19, 5, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 23 x 73 x 1 x 19 x 5 x 43 = 754458650
Therefore, the lowest common multiple of 365,115,418,575,946 is 754458650.
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.
365 x 115 x 418 x 575 x 946 = 9543901922500
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.
365 : 1, 5, 73, 365
115 : 1, 5, 23, 115
418 : 1, 2, 11, 19, 22, 38, 209, 418
575 : 1, 5, 23, 25, 115, 575
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,115,418,575,946, is 1.
Now, the common factors can be found like this.
365:5x 73
115:5x 23
418:2x 11x 19
575:5x 5x 23
946:2x 11x 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 5x 5x 11x 23 = 12650
Therefore, the value for common factors is 12650.
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 = 9543901922500/(1x12650)
LCM = 9543901922500/12650
LCM = 754458650
Thus, we can understand that the LCM of 365,115,418,575,946 is 754458650.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 365, 115, 418, 575, 946
1. What is the LCM of 365, 115, 418, 575, 946?
Answer: LCM of 365, 115, 418, 575, 946 is 754458650.
2. How to calculate the LCM of 365, 115, 418, 575, 946?
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 365, 115, 418, 575, 946.
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}.