Find the LCM of 379, 609, 926, 222, 448 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 379, 609, 926, 222, 448. So, keep reading to learn more.
Given numbers are 379,609,926,222,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,609,926,222,448 is 253057487424.
Find LCM of 379,609,926,222,448 with Prime Factorization
2 | 379, 609, 926, 222, 448 |
3 | 379, 609, 463, 111, 224 |
7 | 379, 203, 463, 37, 224 |
379, 29, 463, 37, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 379 x 29 x 463 x 37 x 32 = 253057487424
Therefore, the lowest common multiple of 379,609,926,222,448 is 253057487424.
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.
379 x 609 x 926 x 222 x 448 = 21256828943616
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.
379 : 1, 379
609 : 1, 3, 7, 21, 29, 87, 203, 609
926 : 1, 2, 463, 926
222 : 1, 2, 3, 6, 37, 74, 111, 222
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,609,926,222,448, is 1.
Now, the common factors can be found like this.
379:379
609:3x 7x 29
926:2x 463
222:2x 3x 37
448:2x 2x 2x 2x 2x 2x 7
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 21256828943616/(1x84)
LCM = 21256828943616/84
LCM = 253057487424
Thus, we can understand that the LCM of 379,609,926,222,448 is 253057487424.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 379, 609, 926, 222, 448?
Answer: LCM of 379, 609, 926, 222, 448 is 253057487424.
2. How to calculate the LCM of 379, 609, 926, 222, 448?
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 379, 609, 926, 222, 448.
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}.