Find the LCM of 592, 627, 950, 897, 752 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 592, 627, 950, 897, 752. So, keep reading to learn more.
Given numbers are 592,627,950,897,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,627,950,897,752 is 130406218800.
Find LCM of 592,627,950,897,752 with Prime Factorization
2 | 592, 627, 950, 897, 752 |
2 | 296, 627, 475, 897, 376 |
2 | 148, 627, 475, 897, 188 |
2 | 74, 627, 475, 897, 94 |
3 | 37, 627, 475, 897, 47 |
19 | 37, 209, 475, 299, 47 |
37, 11, 25, 299, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 19 x 37 x 11 x 25 x 299 x 47 = 130406218800
Therefore, the lowest common multiple of 592,627,950,897,752 is 130406218800.
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.
592 x 627 x 950 x 897 x 752 = 237860943091200
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
627 : 1, 3, 11, 19, 33, 57, 209, 627
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
897 : 1, 3, 13, 23, 39, 69, 299, 897
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,627,950,897,752, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
627:3x 11x 19
950:2x 5x 5x 19
897:3x 13x 23
752:2x 2x 2x 2x 47
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 3x 19 = 1824
Therefore, the value for common factors is 1824.
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 = 237860943091200/(1x1824)
LCM = 237860943091200/1824
LCM = 130406218800
Thus, we can understand that the LCM of 592,627,950,897,752 is 130406218800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 592, 627, 950, 897, 752?
Answer: LCM of 592, 627, 950, 897, 752 is 130406218800.
2. How to calculate the LCM of 592, 627, 950, 897, 752?
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 592, 627, 950, 897, 752.
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}.