Find the LCM of 752, 208, 963, 832 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 752, 208, 963, 832. So, keep reading to learn more.
Given numbers are 752,208,963,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 752,208,963,832 is 37657152.
Find LCM of 752,208,963,832 with Prime Factorization
2 | 752, 208, 963, 832 |
2 | 376, 104, 963, 416 |
2 | 188, 52, 963, 208 |
2 | 94, 26, 963, 104 |
13 | 47, 13, 963, 52 |
47, 1, 963, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 47 x 1 x 963 x 4 = 37657152
Therefore, the lowest common multiple of 752,208,963,832 is 37657152.
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.
752 x 208 x 963 x 832 = 125323001856
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.
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
963 : 1, 3, 9, 107, 321, 963
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,208,963,832, is 1.
Now, the common factors can be found like this.
752:2x 2x 2x 2x 47
208:2x 2x 2x 2x 13
963:3x 3x 107
832:2x 2x 2x 2x 2x 2x 13
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 2x 2x 2x 2x 2x 13 = 3328
Therefore, the value for common factors is 3328.
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 = 125323001856/(1x3328)
LCM = 125323001856/3328
LCM = 37657152
Thus, we can understand that the LCM of 752,208,963,832 is 37657152.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 752, 208, 963, 832?
Answer: LCM of 752, 208, 963, 832 is 37657152.
2. How to calculate the LCM of 752, 208, 963, 832?
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 752, 208, 963, 832.
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}.