Find the LCM of 899, 782, 517, 416, 299 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 899, 782, 517, 416, 299. So, keep reading to learn more.
Given numbers are 899,782,517,416,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 899,782,517,416,299 is 75599743648.
Find LCM of 899,782,517,416,299 with Prime Factorization
2 | 899, 782, 517, 416, 299 |
13 | 899, 391, 517, 208, 299 |
23 | 899, 391, 517, 16, 23 |
899, 17, 517, 16, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 899 x 17 x 517 x 16 x 1 = 75599743648
Therefore, the lowest common multiple of 899,782,517,416,299 is 75599743648.
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.
899 x 782 x 517 x 416 x 299 = 45208646701504
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.
899 : 1, 29, 31, 899
782 : 1, 2, 17, 23, 34, 46, 391, 782
517 : 1, 11, 47, 517
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,782,517,416,299, is 1.
Now, the common factors can be found like this.
899:29x 31
782:2x 17x 23
517:11x 47
416:2x 2x 2x 2x 2x 13
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 23 = 598
Therefore, the value for common factors is 598.
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 = 45208646701504/(1x598)
LCM = 45208646701504/598
LCM = 75599743648
Thus, we can understand that the LCM of 899,782,517,416,299 is 75599743648.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 899, 782, 517, 416, 299?
Answer: LCM of 899, 782, 517, 416, 299 is 75599743648.
2. How to calculate the LCM of 899, 782, 517, 416, 299?
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 899, 782, 517, 416, 299.
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}.