Find the LCM of 958, 195, 795, 136, 455 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 958, 195, 795, 136, 455. So, keep reading to learn more.
Given numbers are 958,195,795,136,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,195,795,136,455 is 4712842680.
Find LCM of 958,195,795,136,455 with Prime Factorization
2 | 958, 195, 795, 136, 455 |
3 | 479, 195, 795, 68, 455 |
5 | 479, 65, 265, 68, 455 |
13 | 479, 13, 53, 68, 91 |
479, 1, 53, 68, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 479 x 1 x 53 x 68 x 7 = 4712842680
Therefore, the lowest common multiple of 958,195,795,136,455 is 4712842680.
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.
958 x 195 x 795 x 136 x 455 = 9190043226000
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.
958 : 1, 2, 479, 958
195 : 1, 3, 5, 13, 15, 39, 65, 195
795 : 1, 3, 5, 15, 53, 159, 265, 795
136 : 1, 2, 4, 8, 17, 34, 68, 136
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,195,795,136,455, is 1.
Now, the common factors can be found like this.
958:2x 479
195:3x 5x 13
795:3x 5x 53
136:2x 2x 2x 17
455:5x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 13 = 1950
Therefore, the value for common factors is 1950.
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 = 9190043226000/(1x1950)
LCM = 9190043226000/1950
LCM = 4712842680
Thus, we can understand that the LCM of 958,195,795,136,455 is 4712842680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 958, 195, 795, 136, 455?
Answer: LCM of 958, 195, 795, 136, 455 is 4712842680.
2. How to calculate the LCM of 958, 195, 795, 136, 455?
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 958, 195, 795, 136, 455.
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}.