Find the LCM of 910, 386, 465, 415, 294 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 910, 386, 465, 415, 294. So, keep reading to learn more.
Given numbers are 910,386,465,415,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,386,465,415,294 is 9489815790.
Find LCM of 910,386,465,415,294 with Prime Factorization
2 | 910, 386, 465, 415, 294 |
3 | 455, 193, 465, 415, 147 |
5 | 455, 193, 155, 415, 49 |
7 | 91, 193, 31, 83, 49 |
13, 193, 31, 83, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 193 x 31 x 83 x 7 = 9489815790
Therefore, the lowest common multiple of 910,386,465,415,294 is 9489815790.
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.
910 x 386 x 465 x 415 x 294 = 19928613159000
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
386 : 1, 2, 193, 386
465 : 1, 3, 5, 15, 31, 93, 155, 465
415 : 1, 5, 83, 415
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,386,465,415,294, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
386:2x 193
465:3x 5x 31
415:5x 83
294:2x 3x 7x 7
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 3x 5x 5x 7 = 2100
Therefore, the value for common factors is 2100.
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 = 19928613159000/(1x2100)
LCM = 19928613159000/2100
LCM = 9489815790
Thus, we can understand that the LCM of 910,386,465,415,294 is 9489815790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 910, 386, 465, 415, 294?
Answer: LCM of 910, 386, 465, 415, 294 is 9489815790.
2. How to calculate the LCM of 910, 386, 465, 415, 294?
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 910, 386, 465, 415, 294.
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}.