Find the LCM of 156, 814, 920, 433, 249 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 156, 814, 920, 433, 249. So, keep reading to learn more.
Given numbers are 156,814,920,433,249
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 156,814,920,433,249 is 524822967240.
Find LCM of 156,814,920,433,249 with Prime Factorization
2 | 156, 814, 920, 433, 249 |
2 | 78, 407, 460, 433, 249 |
3 | 39, 407, 230, 433, 249 |
13, 407, 230, 433, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 407 x 230 x 433 x 83 = 524822967240
Therefore, the lowest common multiple of 156,814,920,433,249 is 524822967240.
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.
156 x 814 x 920 x 433 x 249 = 12595751213760
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.
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
814 : 1, 2, 11, 22, 37, 74, 407, 814
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
433 : 1, 433
249 : 1, 3, 83, 249
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,814,920,433,249, is 1.
Now, the common factors can be found like this.
156:2x 2x 3x 13
814:2x 11x 37
920:2x 2x 2x 5x 23
433:433
249:3x 83
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 3 = 24
Therefore, the value for common factors is 24.
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 = 12595751213760/(1x24)
LCM = 12595751213760/24
LCM = 524822967240
Thus, we can understand that the LCM of 156,814,920,433,249 is 524822967240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 156, 814, 920, 433, 249?
Answer: LCM of 156, 814, 920, 433, 249 is 524822967240.
2. How to calculate the LCM of 156, 814, 920, 433, 249?
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 156, 814, 920, 433, 249.
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}.