Find the LCM of 382, 778, 507, 778 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 382, 778, 507, 778. So, keep reading to learn more.
Given numbers are 382,778,507,778
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,778,507,778 is 75339186.
Find LCM of 382,778,507,778 with Prime Factorization
2 | 382, 778, 507, 778 |
389 | 191, 389, 507, 389 |
191, 1, 507, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 389 x 191 x 1 x 507 x 1 = 75339186
Therefore, the lowest common multiple of 382,778,507,778 is 75339186.
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.
382 x 778 x 507 x 778 = 117227773416
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.
382 : 1, 2, 191, 382
778 : 1, 2, 389, 778
507 : 1, 3, 13, 39, 169, 507
778 : 1, 2, 389, 778
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,778,507,778, is 1.
Now, the common factors can be found like this.
382:2x 191
778:2x 389
507:3x 13x 13
778:2x 389
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 389 = 1556
Therefore, the value for common factors is 1556.
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 = 117227773416/(1x1556)
LCM = 117227773416/1556
LCM = 75339186
Thus, we can understand that the LCM of 382,778,507,778 is 75339186.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 382, 778, 507, 778?
Answer: LCM of 382, 778, 507, 778 is 75339186.
2. How to calculate the LCM of 382, 778, 507, 778?
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 382, 778, 507, 778.
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}.