Find the LCM of 779, 361, 715, 377 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 779, 361, 715, 377. So, keep reading to learn more.
Given numbers are 779,361,715,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,361,715,377 is 306898735.
Find LCM of 779,361,715,377 with Prime Factorization
13 | 779, 361, 715, 377 |
19 | 779, 361, 55, 29 |
41, 19, 55, 29 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 41 x 19 x 55 x 29 = 306898735
Therefore, the lowest common multiple of 779,361,715,377 is 306898735.
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.
779 x 361 x 715 x 377 = 75803987545
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.
779 : 1, 19, 41, 779
361 : 1, 19, 361
715 : 1, 5, 11, 13, 55, 65, 143, 715
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,361,715,377, is 1.
Now, the common factors can be found like this.
779:19x 41
361:19x 19
715:5x 11x 13
377:13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 19 = 247
Therefore, the value for common factors is 247.
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 = 75803987545/(1x247)
LCM = 75803987545/247
LCM = 306898735
Thus, we can understand that the LCM of 779,361,715,377 is 306898735.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 779, 361, 715, 377?
Answer: LCM of 779, 361, 715, 377 is 306898735.
2. How to calculate the LCM of 779, 361, 715, 377?
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 779, 361, 715, 377.
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}.