Find the LCM of 152, 717, 381, 536 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 152, 717, 381, 536. So, keep reading to learn more.
Given numbers are 152,717,381,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,717,381,536 is 927344856.
Find LCM of 152,717,381,536 with Prime Factorization
2 | 152, 717, 381, 536 |
2 | 76, 717, 381, 268 |
2 | 38, 717, 381, 134 |
3 | 19, 717, 381, 67 |
19, 239, 127, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 239 x 127 x 67 = 927344856
Therefore, the lowest common multiple of 152,717,381,536 is 927344856.
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.
152 x 717 x 381 x 536 = 22256276544
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
717 : 1, 3, 239, 717
381 : 1, 3, 127, 381
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,717,381,536, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
717:3x 239
381:3x 127
536:2x 2x 2x 67
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 = 22256276544/(1x24)
LCM = 22256276544/24
LCM = 927344856
Thus, we can understand that the LCM of 152,717,381,536 is 927344856.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 152, 717, 381, 536?
Answer: LCM of 152, 717, 381, 536 is 927344856.
2. How to calculate the LCM of 152, 717, 381, 536?
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 152, 717, 381, 536.
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}.