Find the LCM of 284, 659, 702, 433, 167 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, 659, 702, 433, 167. So, keep reading to learn more.
Given numbers are 284,659,702,433,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,659,702,433,167 is 4750236568116.
Find LCM of 284,659,702,433,167 with Prime Factorization
2 | 284, 659, 702, 433, 167 |
142, 659, 351, 433, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 142 x 659 x 351 x 433 x 167 = 4750236568116
Therefore, the lowest common multiple of 284,659,702,433,167 is 4750236568116.
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 659 x 702 x 433 x 167 = 9500473136232
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
659 : 1, 659
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
433 : 1, 433
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,659,702,433,167, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
659:659
702:2x 3x 3x 3x 13
433:433
167:167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 9500473136232/(1x2)
LCM = 9500473136232/2
LCM = 4750236568116
Thus, we can understand that the LCM of 284,659,702,433,167 is 4750236568116.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 284, 659, 702, 433, 167?
Answer: LCM of 284, 659, 702, 433, 167 is 4750236568116.
2. How to calculate the LCM of 284, 659, 702, 433, 167?
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, 659, 702, 433, 167.
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}.