Find the LCM of 247, 271, 676, 715, 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 247, 271, 676, 715, 637. So, keep reading to learn more.
Given numbers are 247,271,676,715,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,271,676,715,637 is 9380551180.
Find LCM of 247,271,676,715,637 with Prime Factorization
13 | 247, 271, 676, 715, 637 |
19, 271, 52, 55, 49 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 271 x 52 x 55 x 49 = 9380551180
Therefore, the lowest common multiple of 247,271,676,715,637 is 9380551180.
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.
247 x 271 x 676 x 715 x 637 = 20609070942460
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.
247 : 1, 13, 19, 247
271 : 1, 271
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
715 : 1, 5, 11, 13, 55, 65, 143, 715
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 247,271,676,715,637, is 1.
Now, the common factors can be found like this.
247:13x 19
271:271
676:2x 2x 13x 13
715:5x 11x 13
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.
13x 13x 13 = 2197
Therefore, the value for common factors is 2197.
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 = 20609070942460/(1x2197)
LCM = 20609070942460/2197
LCM = 9380551180
Thus, we can understand that the LCM of 247,271,676,715,637 is 9380551180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 247, 271, 676, 715, 637?
Answer: LCM of 247, 271, 676, 715, 637 is 9380551180.
2. How to calculate the LCM of 247, 271, 676, 715, 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 247, 271, 676, 715, 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}.