Find the LCM of 290, 406, 726, 748, 968 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 290, 406, 726, 748, 968. So, keep reading to learn more.
Given numbers are 290,406,726,748,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,406,726,748,968 is 50108520.
Find LCM of 290,406,726,748,968 with Prime Factorization
2 | 290, 406, 726, 748, 968 |
2 | 145, 203, 363, 374, 484 |
11 | 145, 203, 363, 187, 242 |
11 | 145, 203, 33, 17, 22 |
29 | 145, 203, 3, 17, 2 |
5, 7, 3, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 11 x 29 x 5 x 7 x 3 x 17 x 2 = 50108520
Therefore, the lowest common multiple of 290,406,726,748,968 is 50108520.
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.
290 x 406 x 726 x 748 x 968 = 61892440431360
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
406 : 1, 2, 7, 14, 29, 58, 203, 406
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,406,726,748,968, is 2.
Now, the common factors can be found like this.
290:2x 5x 29
406:2x 7x 29
726:2x 3x 11x 11
748:2x 2x 11x 17
968:2x 2x 2x 11x 11
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 11x 11x 11x 29 = 617584
Therefore, the value for common factors is 617584.
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 = 61892440431360/(2x617584)
LCM = 61892440431360/1235168
LCM = 50108520
Thus, we can understand that the LCM of 290,406,726,748,968 is 50108520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 290, 406, 726, 748, 968?
Answer: LCM of 290, 406, 726, 748, 968 is 50108520.
2. How to calculate the LCM of 290, 406, 726, 748, 968?
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 290, 406, 726, 748, 968.
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}.