Find the LCM of 991, 526, 263, 517, 637 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 991, 526, 263, 517, 637. So, keep reading to learn more.
Given numbers are 991,526,263,517,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,526,263,517,637 is 171668010514.
Find LCM of 991,526,263,517,637 with Prime Factorization
263 | 991, 526, 263, 517, 637 |
991, 2, 1, 517, 637 |
Multiply the prime numbers at the bottom and the left side.
263 x 991 x 2 x 1 x 517 x 637 = 171668010514
Therefore, the lowest common multiple of 991,526,263,517,637 is 171668010514.
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.
991 x 526 x 263 x 517 x 637 = 45148686765182
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.
991 : 1, 991
526 : 1, 2, 263, 526
263 : 1, 263
517 : 1, 11, 47, 517
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,526,263,517,637, is 1.
Now, the common factors can be found like this.
991:991
526:2x 263
263:263
517:11x 47
637:7x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
263 = 263
Therefore, the value for common factors is 263.
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 = 45148686765182/(1x263)
LCM = 45148686765182/263
LCM = 171668010514
Thus, we can understand that the LCM of 991,526,263,517,637 is 171668010514.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 991, 526, 263, 517, 637?
Answer: LCM of 991, 526, 263, 517, 637 is 171668010514.
2. How to calculate the LCM of 991, 526, 263, 517, 637?
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 991, 526, 263, 517, 637.
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}.