Find the LCM of 587, 368, 221, 815, 412 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 587, 368, 221, 815, 412. So, keep reading to learn more.
Given numbers are 587,368,221,815,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,368,221,815,412 is 4007495349520.
Find LCM of 587,368,221,815,412 with Prime Factorization
2 | 587, 368, 221, 815, 412 |
2 | 587, 184, 221, 815, 206 |
587, 92, 221, 815, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 587 x 92 x 221 x 815 x 103 = 4007495349520
Therefore, the lowest common multiple of 587,368,221,815,412 is 4007495349520.
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.
587 x 368 x 221 x 815 x 412 = 16029981398080
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.
587 : 1, 587
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
221 : 1, 13, 17, 221
815 : 1, 5, 163, 815
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,368,221,815,412, is 1.
Now, the common factors can be found like this.
587:587
368:2x 2x 2x 2x 23
221:13x 17
815:5x 163
412:2x 2x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 16029981398080/(1x4)
LCM = 16029981398080/4
LCM = 4007495349520
Thus, we can understand that the LCM of 587,368,221,815,412 is 4007495349520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 587, 368, 221, 815, 412?
Answer: LCM of 587, 368, 221, 815, 412 is 4007495349520.
2. How to calculate the LCM of 587, 368, 221, 815, 412?
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 587, 368, 221, 815, 412.
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}.