Find the LCM of 517, 446, 663, 298, 855 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 517, 446, 663, 298, 855. So, keep reading to learn more.
Given numbers are 517,446,663,298,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,446,663,298,855 is 6491873649690.
Find LCM of 517,446,663,298,855 with Prime Factorization
2 | 517, 446, 663, 298, 855 |
3 | 517, 223, 663, 149, 855 |
517, 223, 221, 149, 285 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 517 x 223 x 221 x 149 x 285 = 6491873649690
Therefore, the lowest common multiple of 517,446,663,298,855 is 6491873649690.
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.
517 x 446 x 663 x 298 x 855 = 38951241898140
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.
517 : 1, 11, 47, 517
446 : 1, 2, 223, 446
663 : 1, 3, 13, 17, 39, 51, 221, 663
298 : 1, 2, 149, 298
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,446,663,298,855, is 1.
Now, the common factors can be found like this.
517:11x 47
446:2x 223
663:3x 13x 17
298:2x 149
855:3x 3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 38951241898140/(1x6)
LCM = 38951241898140/6
LCM = 6491873649690
Thus, we can understand that the LCM of 517,446,663,298,855 is 6491873649690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 517, 446, 663, 298, 855?
Answer: LCM of 517, 446, 663, 298, 855 is 6491873649690.
2. How to calculate the LCM of 517, 446, 663, 298, 855?
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 517, 446, 663, 298, 855.
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}.