Find the LCM of 493, 352, 627, 245, 817 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 493, 352, 627, 245, 817. So, keep reading to learn more.
Given numbers are 493,352,627,245,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,352,627,245,817 is 104207500320.
Find LCM of 493,352,627,245,817 with Prime Factorization
11 | 493, 352, 627, 245, 817 |
19 | 493, 32, 57, 245, 817 |
493, 32, 3, 245, 43 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 493 x 32 x 3 x 245 x 43 = 104207500320
Therefore, the lowest common multiple of 493,352,627,245,817 is 104207500320.
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.
493 x 352 x 627 x 245 x 817 = 21779367566880
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.
493 : 1, 17, 29, 493
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
627 : 1, 3, 11, 19, 33, 57, 209, 627
245 : 1, 5, 7, 35, 49, 245
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,352,627,245,817, is 1.
Now, the common factors can be found like this.
493:17x 29
352:2x 2x 2x 2x 2x 11
627:3x 11x 19
245:5x 7x 7
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 19 = 209
Therefore, the value for common factors is 209.
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 = 21779367566880/(1x209)
LCM = 21779367566880/209
LCM = 104207500320
Thus, we can understand that the LCM of 493,352,627,245,817 is 104207500320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 493, 352, 627, 245, 817?
Answer: LCM of 493, 352, 627, 245, 817 is 104207500320.
2. How to calculate the LCM of 493, 352, 627, 245, 817?
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 493, 352, 627, 245, 817.
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}.