LCM of 467, 230, 493, 415, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 230, 493, 415, 115 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 467, 230, 493, 415, 115. So, keep reading to learn more.
Given numbers are 467,230,493,415,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,230,493,415,115 is 4395109790.
Find LCM of 467,230,493,415,115 with Prime Factorization
| 5 | 467, 230, 493, 415, 115 |
| 23 | 467, 46, 493, 83, 23 |
| 467, 2, 493, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 467 x 2 x 493 x 83 x 1 = 4395109790
Therefore, the lowest common multiple of 467,230,493,415,115 is 4395109790.
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.
467 x 230 x 493 x 415 x 115 = 2527188129250
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.
467 : 1, 467
230 : 1, 2, 5, 10, 23, 46, 115, 230
493 : 1, 17, 29, 493
415 : 1, 5, 83, 415
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,230,493,415,115, is 1.
Now, the common factors can be found like this.
467:467
230:2x 5x 23
493:17x 29
415:5x 83
115:5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 23 = 575
Therefore, the value for common factors is 575.
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 = 2527188129250/(1x575)
LCM = 2527188129250/575
LCM = 4395109790
Thus, we can understand that the LCM of 467,230,493,415,115 is 4395109790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 467, 230, 493, 415, 115
1. What is the LCM of 467, 230, 493, 415, 115?
Answer: LCM of 467, 230, 493, 415, 115 is 4395109790.
2. How to calculate the LCM of 467, 230, 493, 415, 115?
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 467, 230, 493, 415, 115.
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}.