Find the LCM of 101, 221, 397, 585, 494 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 101, 221, 397, 585, 494. So, keep reading to learn more.
Given numbers are 101,221,397,585,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,221,397,585,494 is 15153057270.
Find LCM of 101,221,397,585,494 with Prime Factorization
13 | 101, 221, 397, 585, 494 |
101, 17, 397, 45, 38 |
Multiply the prime numbers at the bottom and the left side.
13 x 101 x 17 x 397 x 45 x 38 = 15153057270
Therefore, the lowest common multiple of 101,221,397,585,494 is 15153057270.
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.
101 x 221 x 397 x 585 x 494 = 2560866678630
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.
101 : 1, 101
221 : 1, 13, 17, 221
397 : 1, 397
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,221,397,585,494, is 1.
Now, the common factors can be found like this.
101:101
221:13x 17
397:397
585:3x 3x 5x 13
494:2x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 2560866678630/(1x169)
LCM = 2560866678630/169
LCM = 15153057270
Thus, we can understand that the LCM of 101,221,397,585,494 is 15153057270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 101, 221, 397, 585, 494?
Answer: LCM of 101, 221, 397, 585, 494 is 15153057270.
2. How to calculate the LCM of 101, 221, 397, 585, 494?
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 101, 221, 397, 585, 494.
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}.