LCM of 637, 814, 308, 627, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 637, 814, 308, 627, 722 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 637, 814, 308, 627, 722. So, keep reading to learn more.
Given numbers are 637,814,308,627,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,814,308,627,722 is 1123109988.
Find LCM of 637,814,308,627,722 with Prime Factorization
| 2 | 637, 814, 308, 627, 722 |
| 7 | 637, 407, 154, 627, 361 |
| 11 | 91, 407, 22, 627, 361 |
| 19 | 91, 37, 2, 57, 361 |
| 91, 37, 2, 3, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 19 x 91 x 37 x 2 x 3 x 19 = 1123109988
Therefore, the lowest common multiple of 637,814,308,627,722 is 1123109988.
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.
637 x 814 x 308 x 627 x 722 = 72296836147536
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.
637 : 1, 7, 13, 49, 91, 637
814 : 1, 2, 11, 22, 37, 74, 407, 814
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
627 : 1, 3, 11, 19, 33, 57, 209, 627
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,814,308,627,722, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
814:2x 11x 37
308:2x 2x 7x 11
627:3x 11x 19
722:2x 19x 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 2x 7x 11x 11x 19 = 64372
Therefore, the value for common factors is 64372.
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 = 72296836147536/(1x64372)
LCM = 72296836147536/64372
LCM = 1123109988
Thus, we can understand that the LCM of 637,814,308,627,722 is 1123109988.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 637, 814, 308, 627, 722
1. What is the LCM of 637, 814, 308, 627, 722?
Answer: LCM of 637, 814, 308, 627, 722 is 1123109988.
2. How to calculate the LCM of 637, 814, 308, 627, 722?
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 637, 814, 308, 627, 722.
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}.