Find the LCM of 284, 721, 150, 778, 172 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 284, 721, 150, 778, 172. So, keep reading to learn more.
Given numbers are 284,721,150,778,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,721,150,778,172 is 256881557100.
Find LCM of 284,721,150,778,172 with Prime Factorization
2 | 284, 721, 150, 778, 172 |
2 | 142, 721, 75, 389, 86 |
71, 721, 75, 389, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 71 x 721 x 75 x 389 x 43 = 256881557100
Therefore, the lowest common multiple of 284,721,150,778,172 is 256881557100.
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.
284 x 721 x 150 x 778 x 172 = 4110104913600
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.
284 : 1, 2, 4, 71, 142, 284
721 : 1, 7, 103, 721
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
778 : 1, 2, 389, 778
172 : 1, 2, 4, 43, 86, 172
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,721,150,778,172, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
721:7x 103
150:2x 3x 5x 5
778:2x 389
172:2x 2x 43
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 2 = 16
Therefore, the value for common factors is 16.
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 = 4110104913600/(1x16)
LCM = 4110104913600/16
LCM = 256881557100
Thus, we can understand that the LCM of 284,721,150,778,172 is 256881557100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 284, 721, 150, 778, 172?
Answer: LCM of 284, 721, 150, 778, 172 is 256881557100.
2. How to calculate the LCM of 284, 721, 150, 778, 172?
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 284, 721, 150, 778, 172.
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}.