Find the LCM of 779, 341, 750, 636, 939 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, 341, 750, 636, 939. So, keep reading to learn more.
Given numbers are 779,341,750,636,939
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,341,750,636,939 is 6610028056500.
Find LCM of 779,341,750,636,939 with Prime Factorization
2 | 779, 341, 750, 636, 939 |
3 | 779, 341, 375, 318, 939 |
779, 341, 125, 106, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 779 x 341 x 125 x 106 x 313 = 6610028056500
Therefore, the lowest common multiple of 779,341,750,636,939 is 6610028056500.
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 341 x 750 x 636 x 939 = 118980505017000
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
341 : 1, 11, 31, 341
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
939 : 1, 3, 313, 939
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,341,750,636,939, is 1.
Now, the common factors can be found like this.
779:19x 41
341:11x 31
750:2x 3x 5x 5x 5
636:2x 2x 3x 53
939:3x 313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 118980505017000/(1x18)
LCM = 118980505017000/18
LCM = 6610028056500
Thus, we can understand that the LCM of 779,341,750,636,939 is 6610028056500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 779, 341, 750, 636, 939?
Answer: LCM of 779, 341, 750, 636, 939 is 6610028056500.
2. How to calculate the LCM of 779, 341, 750, 636, 939?
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, 341, 750, 636, 939.
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}.