Find the LCM of 932, 667, 414, 460, 391 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 932, 667, 414, 460, 391. So, keep reading to learn more.
Given numbers are 932,667,414,460,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,667,414,460,391 is 475557660.
Find LCM of 932,667,414,460,391 with Prime Factorization
2 | 932, 667, 414, 460, 391 |
2 | 466, 667, 207, 230, 391 |
23 | 233, 667, 207, 115, 391 |
233, 29, 9, 5, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 233 x 29 x 9 x 5 x 17 = 475557660
Therefore, the lowest common multiple of 932,667,414,460,391 is 475557660.
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.
932 x 667 x 414 x 460 x 391 = 46288880393760
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.
932 : 1, 2, 4, 233, 466, 932
667 : 1, 23, 29, 667
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,667,414,460,391, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
667:23x 29
414:2x 3x 3x 23
460:2x 2x 5x 23
391:17x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 23x 23x 23 = 97336
Therefore, the value for common factors is 97336.
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 = 46288880393760/(1x97336)
LCM = 46288880393760/97336
LCM = 475557660
Thus, we can understand that the LCM of 932,667,414,460,391 is 475557660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 932, 667, 414, 460, 391?
Answer: LCM of 932, 667, 414, 460, 391 is 475557660.
2. How to calculate the LCM of 932, 667, 414, 460, 391?
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 932, 667, 414, 460, 391.
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}.