Find the LCM of 376, 637, 221, 371, 799 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 376, 637, 221, 371, 799. So, keep reading to learn more.
Given numbers are 376,637,221,371,799
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,637,221,371,799 is 215800312.
Find LCM of 376,637,221,371,799 with Prime Factorization
7 | 376, 637, 221, 371, 799 |
13 | 376, 91, 221, 53, 799 |
17 | 376, 7, 17, 53, 799 |
47 | 376, 7, 1, 53, 47 |
8, 7, 1, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 17 x 47 x 8 x 7 x 1 x 53 x 1 = 215800312
Therefore, the lowest common multiple of 376,637,221,371,799 is 215800312.
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.
376 x 637 x 221 x 371 x 799 = 15690624885208
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
637 : 1, 7, 13, 49, 91, 637
221 : 1, 13, 17, 221
371 : 1, 7, 53, 371
799 : 1, 17, 47, 799
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,637,221,371,799, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
637:7x 7x 13
221:13x 17
371:7x 53
799:17x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 13x 17x 47 = 72709
Therefore, the value for common factors is 72709.
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 = 15690624885208/(1x72709)
LCM = 15690624885208/72709
LCM = 215800312
Thus, we can understand that the LCM of 376,637,221,371,799 is 215800312.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 376, 637, 221, 371, 799?
Answer: LCM of 376, 637, 221, 371, 799 is 215800312.
2. How to calculate the LCM of 376, 637, 221, 371, 799?
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 376, 637, 221, 371, 799.
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}.