Find the LCM of 741, 845, 115, 831, 154 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 741, 845, 115, 831, 154. So, keep reading to learn more.
Given numbers are 741,845,115,831,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,845,115,831,154 is 47256319110.
Find LCM of 741,845,115,831,154 with Prime Factorization
3 | 741, 845, 115, 831, 154 |
5 | 247, 845, 115, 277, 154 |
13 | 247, 169, 23, 277, 154 |
19, 13, 23, 277, 154 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 19 x 13 x 23 x 277 x 154 = 47256319110
Therefore, the lowest common multiple of 741,845,115,831,154 is 47256319110.
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.
741 x 845 x 115 x 831 x 154 = 9214982226450
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
845 : 1, 5, 13, 65, 169, 845
115 : 1, 5, 23, 115
831 : 1, 3, 277, 831
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,845,115,831,154, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
845:5x 13x 13
115:5x 23
831:3x 277
154:2x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 13 = 195
Therefore, the value for common factors is 195.
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 = 9214982226450/(1x195)
LCM = 9214982226450/195
LCM = 47256319110
Thus, we can understand that the LCM of 741,845,115,831,154 is 47256319110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 741, 845, 115, 831, 154?
Answer: LCM of 741, 845, 115, 831, 154 is 47256319110.
2. How to calculate the LCM of 741, 845, 115, 831, 154?
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 741, 845, 115, 831, 154.
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}.