Find the LCM of 715, 793, 379, 767, 438 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 715, 793, 379, 767, 438. So, keep reading to learn more.
Given numbers are 715,793,379,767,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,793,379,767,438 is 427170456570.
Find LCM of 715,793,379,767,438 with Prime Factorization
13 | 715, 793, 379, 767, 438 |
55, 61, 379, 59, 438 |
Multiply the prime numbers at the bottom and the left side.
13 x 55 x 61 x 379 x 59 x 438 = 427170456570
Therefore, the lowest common multiple of 715,793,379,767,438 is 427170456570.
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.
715 x 793 x 379 x 767 x 438 = 72191807160330
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
793 : 1, 13, 61, 793
379 : 1, 379
767 : 1, 13, 59, 767
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,793,379,767,438, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
793:13x 61
379:379
767:13x 59
438:2x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 72191807160330/(1x169)
LCM = 72191807160330/169
LCM = 427170456570
Thus, we can understand that the LCM of 715,793,379,767,438 is 427170456570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 715, 793, 379, 767, 438?
Answer: LCM of 715, 793, 379, 767, 438 is 427170456570.
2. How to calculate the LCM of 715, 793, 379, 767, 438?
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 715, 793, 379, 767, 438.
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}.