Find the LCM of 391, 238, 121, 451, 777 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 391, 238, 121, 451, 777. So, keep reading to learn more.
Given numbers are 391,238,121,451,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,238,121,451,777 is 3014373054.
Find LCM of 391,238,121,451,777 with Prime Factorization
7 | 391, 238, 121, 451, 777 |
11 | 391, 34, 121, 451, 111 |
17 | 391, 34, 11, 41, 111 |
23, 2, 11, 41, 111 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 17 x 23 x 2 x 11 x 41 x 111 = 3014373054
Therefore, the lowest common multiple of 391,238,121,451,777 is 3014373054.
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.
391 x 238 x 121 x 451 x 777 = 3945814327686
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.
391 : 1, 17, 23, 391
238 : 1, 2, 7, 14, 17, 34, 119, 238
121 : 1, 11, 121
451 : 1, 11, 41, 451
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,238,121,451,777, is 1.
Now, the common factors can be found like this.
391:17x 23
238:2x 7x 17
121:11x 11
451:11x 41
777:3x 7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11x 17 = 1309
Therefore, the value for common factors is 1309.
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 = 3945814327686/(1x1309)
LCM = 3945814327686/1309
LCM = 3014373054
Thus, we can understand that the LCM of 391,238,121,451,777 is 3014373054.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 391, 238, 121, 451, 777?
Answer: LCM of 391, 238, 121, 451, 777 is 3014373054.
2. How to calculate the LCM of 391, 238, 121, 451, 777?
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 391, 238, 121, 451, 777.
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}.