Find the LCM of 913, 385, 812, 291, 358 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, 385, 812, 291, 358. So, keep reading to learn more.
Given numbers are 913,385,812,291,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,385,812,291,358 is 193082463420.
Find LCM of 913,385,812,291,358 with Prime Factorization
2 | 913, 385, 812, 291, 358 |
7 | 913, 385, 406, 291, 179 |
11 | 913, 55, 58, 291, 179 |
83, 5, 58, 291, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 83 x 5 x 58 x 291 x 179 = 193082463420
Therefore, the lowest common multiple of 913,385,812,291,358 is 193082463420.
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 385 x 812 x 291 x 358 = 29734699366680
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
385 : 1, 5, 7, 11, 35, 55, 77, 385
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
291 : 1, 3, 97, 291
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,385,812,291,358, is 1.
Now, the common factors can be found like this.
913:11x 83
385:5x 7x 11
812:2x 2x 7x 29
291:3x 97
358:2x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11 = 154
Therefore, the value for common factors is 154.
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 = 29734699366680/(1x154)
LCM = 29734699366680/154
LCM = 193082463420
Thus, we can understand that the LCM of 913,385,812,291,358 is 193082463420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 913, 385, 812, 291, 358?
Answer: LCM of 913, 385, 812, 291, 358 is 193082463420.
2. How to calculate the LCM of 913, 385, 812, 291, 358?
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, 385, 812, 291, 358.
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}.