Find the LCM of 260, 944, 741, 536, 950 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 260, 944, 741, 536, 950. So, keep reading to learn more.
Given numbers are 260,944,741,536,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,944,741,536,950 is 1171669200.
Find LCM of 260,944,741,536,950 with Prime Factorization
2 | 260, 944, 741, 536, 950 |
2 | 130, 472, 741, 268, 475 |
2 | 65, 236, 741, 134, 475 |
5 | 65, 118, 741, 67, 475 |
13 | 13, 118, 741, 67, 95 |
19 | 1, 118, 57, 67, 95 |
1, 118, 3, 67, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 19 x 1 x 118 x 3 x 67 x 5 = 1171669200
Therefore, the lowest common multiple of 260,944,741,536,950 is 1171669200.
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.
260 x 944 x 741 x 536 x 950 = 92608733568000
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
741 : 1, 3, 13, 19, 39, 57, 247, 741
536 : 1, 2, 4, 8, 67, 134, 268, 536
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,944,741,536,950, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
944:2x 2x 2x 2x 59
741:3x 13x 19
536:2x 2x 2x 67
950:2x 5x 5x 19
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 5x 13x 19 = 79040
Therefore, the value for common factors is 79040.
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 = 92608733568000/(1x79040)
LCM = 92608733568000/79040
LCM = 1171669200
Thus, we can understand that the LCM of 260,944,741,536,950 is 1171669200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 260, 944, 741, 536, 950?
Answer: LCM of 260, 944, 741, 536, 950 is 1171669200.
2. How to calculate the LCM of 260, 944, 741, 536, 950?
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 260, 944, 741, 536, 950.
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}.