Find the LCM of 926, 391, 312, 782, 214 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 926, 391, 312, 782, 214. So, keep reading to learn more.
Given numbers are 926,391,312,782,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,391,312,782,214 is 6043605672.
Find LCM of 926,391,312,782,214 with Prime Factorization
2 | 926, 391, 312, 782, 214 |
17 | 463, 391, 156, 391, 107 |
23 | 463, 23, 156, 23, 107 |
463, 1, 156, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 23 x 463 x 1 x 156 x 1 x 107 = 6043605672
Therefore, the lowest common multiple of 926,391,312,782,214 is 6043605672.
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.
926 x 391 x 312 x 782 x 214 = 18904398542016
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.
926 : 1, 2, 463, 926
391 : 1, 17, 23, 391
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
782 : 1, 2, 17, 23, 34, 46, 391, 782
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,391,312,782,214, is 1.
Now, the common factors can be found like this.
926:2x 463
391:17x 23
312:2x 2x 2x 3x 13
782:2x 17x 23
214:2x 107
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 17x 23 = 3128
Therefore, the value for common factors is 3128.
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 = 18904398542016/(1x3128)
LCM = 18904398542016/3128
LCM = 6043605672
Thus, we can understand that the LCM of 926,391,312,782,214 is 6043605672.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 926, 391, 312, 782, 214?
Answer: LCM of 926, 391, 312, 782, 214 is 6043605672.
2. How to calculate the LCM of 926, 391, 312, 782, 214?
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 926, 391, 312, 782, 214.
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}.