Find the LCM of 767, 338, 778, 832, 635 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 767, 338, 778, 832, 635. So, keep reading to learn more.
Given numbers are 767,338,778,832,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,338,778,832,635 is 157631140160.
Find LCM of 767,338,778,832,635 with Prime Factorization
2 | 767, 338, 778, 832, 635 |
13 | 767, 169, 389, 416, 635 |
59, 13, 389, 32, 635 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 59 x 13 x 389 x 32 x 635 = 157631140160
Therefore, the lowest common multiple of 767,338,778,832,635 is 157631140160.
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.
767 x 338 x 778 x 832 x 635 = 106558650748160
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.
767 : 1, 13, 59, 767
338 : 1, 2, 13, 26, 169, 338
778 : 1, 2, 389, 778
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,338,778,832,635, is 1.
Now, the common factors can be found like this.
767:13x 59
338:2x 13x 13
778:2x 389
832:2x 2x 2x 2x 2x 2x 13
635:5x 127
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 106558650748160/(1x676)
LCM = 106558650748160/676
LCM = 157631140160
Thus, we can understand that the LCM of 767,338,778,832,635 is 157631140160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 767, 338, 778, 832, 635?
Answer: LCM of 767, 338, 778, 832, 635 is 157631140160.
2. How to calculate the LCM of 767, 338, 778, 832, 635?
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 767, 338, 778, 832, 635.
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}.