Find the LCM of 625, 832, 415, 392, 747 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 625, 832, 415, 392, 747. So, keep reading to learn more.
Given numbers are 625,832,415,392,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 625,832,415,392,747 is 19033560000.
Find LCM of 625,832,415,392,747 with Prime Factorization
2 | 625, 832, 415, 392, 747 |
2 | 625, 416, 415, 196, 747 |
2 | 625, 208, 415, 98, 747 |
5 | 625, 104, 415, 49, 747 |
83 | 125, 104, 83, 49, 747 |
125, 104, 1, 49, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 83 x 125 x 104 x 1 x 49 x 9 = 19033560000
Therefore, the lowest common multiple of 625,832,415,392,747 is 19033560000.
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.
625 x 832 x 415 x 392 x 747 = 63191419200000
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.
625 : 1, 5, 25, 125, 625
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
415 : 1, 5, 83, 415
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,832,415,392,747, is 1.
Now, the common factors can be found like this.
625:5x 5x 5x 5
832:2x 2x 2x 2x 2x 2x 13
415:5x 83
392:2x 2x 2x 7x 7
747:3x 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 5x 83 = 3320
Therefore, the value for common factors is 3320.
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 = 63191419200000/(1x3320)
LCM = 63191419200000/3320
LCM = 19033560000
Thus, we can understand that the LCM of 625,832,415,392,747 is 19033560000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 625, 832, 415, 392, 747?
Answer: LCM of 625, 832, 415, 392, 747 is 19033560000.
2. How to calculate the LCM of 625, 832, 415, 392, 747?
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 625, 832, 415, 392, 747.
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}.