Find the LCM of 913, 886, 155, 374, 392 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 913, 886, 155, 374, 392. So, keep reading to learn more.
Given numbers are 913,886,155,374,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,886,155,374,392 is 417773790280.
Find LCM of 913,886,155,374,392 with Prime Factorization
2 | 913, 886, 155, 374, 392 |
11 | 913, 443, 155, 187, 196 |
83, 443, 155, 17, 196 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 83 x 443 x 155 x 17 x 196 = 417773790280
Therefore, the lowest common multiple of 913,886,155,374,392 is 417773790280.
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.
913 x 886 x 155 x 374 x 392 = 18382046772320
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.
913 : 1, 11, 83, 913
886 : 1, 2, 443, 886
155 : 1, 5, 31, 155
374 : 1, 2, 11, 17, 22, 34, 187, 374
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,886,155,374,392, is 1.
Now, the common factors can be found like this.
913:11x 83
886:2x 443
155:5x 31
374:2x 11x 17
392:2x 2x 2x 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 11 = 44
Therefore, the value for common factors is 44.
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 = 18382046772320/(1x44)
LCM = 18382046772320/44
LCM = 417773790280
Thus, we can understand that the LCM of 913,886,155,374,392 is 417773790280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 913, 886, 155, 374, 392?
Answer: LCM of 913, 886, 155, 374, 392 is 417773790280.
2. How to calculate the LCM of 913, 886, 155, 374, 392?
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 913, 886, 155, 374, 392.
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}.