Find the LCM of 899, 286, 799, 884, 919 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, 286, 799, 884, 919. So, keep reading to learn more.
Given numbers are 899,286,799,884,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 899,286,799,884,919 is 377587850068.
Find LCM of 899,286,799,884,919 with Prime Factorization
2 | 899, 286, 799, 884, 919 |
13 | 899, 143, 799, 442, 919 |
17 | 899, 11, 799, 34, 919 |
899, 11, 47, 2, 919 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 899 x 11 x 47 x 2 x 919 = 377587850068
Therefore, the lowest common multiple of 899,286,799,884,919 is 377587850068.
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 286 x 799 x 884 x 919 = 166893829730056
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
286 : 1, 2, 11, 13, 22, 26, 143, 286
799 : 1, 17, 47, 799
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,286,799,884,919, is 1.
Now, the common factors can be found like this.
899:29x 31
286:2x 11x 13
799:17x 47
884:2x 2x 13x 17
919:919
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 17 = 442
Therefore, the value for common factors is 442.
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 = 166893829730056/(1x442)
LCM = 166893829730056/442
LCM = 377587850068
Thus, we can understand that the LCM of 899,286,799,884,919 is 377587850068.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 899, 286, 799, 884, 919?
Answer: LCM of 899, 286, 799, 884, 919 is 377587850068.
2. How to calculate the LCM of 899, 286, 799, 884, 919?
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, 286, 799, 884, 919.
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}.