Find the LCM of 913, 428, 915, 610, 738 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 913, 428, 915, 610, 738. So, keep reading to learn more.
Given numbers are 913,428,915,610,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,428,915,610,738 is 43978534380.
Find LCM of 913,428,915,610,738 with Prime Factorization
2 | 913, 428, 915, 610, 738 |
3 | 913, 214, 915, 305, 369 |
5 | 913, 214, 305, 305, 123 |
61 | 913, 214, 61, 61, 123 |
913, 214, 1, 1, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 61 x 913 x 214 x 1 x 1 x 123 = 43978534380
Therefore, the lowest common multiple of 913,428,915,610,738 is 43978534380.
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.
913 x 428 x 915 x 610 x 738 = 160961435830800
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.
913 : 1, 11, 83, 913
428 : 1, 2, 4, 107, 214, 428
915 : 1, 3, 5, 15, 61, 183, 305, 915
610 : 1, 2, 5, 10, 61, 122, 305, 610
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,428,915,610,738, is 1.
Now, the common factors can be found like this.
913:11x 83
428:2x 2x 107
915:3x 5x 61
610:2x 5x 61
738:2x 3x 3x 41
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 3x 5x 61 = 3660
Therefore, the value for common factors is 3660.
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 = 160961435830800/(1x3660)
LCM = 160961435830800/3660
LCM = 43978534380
Thus, we can understand that the LCM of 913,428,915,610,738 is 43978534380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 913, 428, 915, 610, 738?
Answer: LCM of 913, 428, 915, 610, 738 is 43978534380.
2. How to calculate the LCM of 913, 428, 915, 610, 738?
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 913, 428, 915, 610, 738.
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}.