Find the LCM of 377, 494, 409, 384, 926 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 377, 494, 409, 384, 926. So, keep reading to learn more.
Given numbers are 377,494,409,384,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,494,409,384,926 is 520871355264.
Find LCM of 377,494,409,384,926 with Prime Factorization
2 | 377, 494, 409, 384, 926 |
13 | 377, 247, 409, 192, 463 |
29, 19, 409, 192, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 29 x 19 x 409 x 192 x 463 = 520871355264
Therefore, the lowest common multiple of 377,494,409,384,926 is 520871355264.
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.
377 x 494 x 409 x 384 x 926 = 27085310473728
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.
377 : 1, 13, 29, 377
494 : 1, 2, 13, 19, 26, 38, 247, 494
409 : 1, 409
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
926 : 1, 2, 463, 926
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,494,409,384,926, is 1.
Now, the common factors can be found like this.
377:13x 29
494:2x 13x 19
409:409
384:2x 2x 2x 2x 2x 2x 2x 3
926:2x 463
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 13 = 52
Therefore, the value for common factors is 52.
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 = 27085310473728/(1x52)
LCM = 27085310473728/52
LCM = 520871355264
Thus, we can understand that the LCM of 377,494,409,384,926 is 520871355264.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 494, 409, 384, 926?
Answer: LCM of 377, 494, 409, 384, 926 is 520871355264.
2. How to calculate the LCM of 377, 494, 409, 384, 926?
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 377, 494, 409, 384, 926.
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}.