Find the LCM of 446, 589, 589, 661, 341 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 446, 589, 589, 661, 341. So, keep reading to learn more.
Given numbers are 446,589,589,661,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 446,589,589,661,341 is 1910048074.
Find LCM of 446,589,589,661,341 with Prime Factorization
19 | 446, 589, 589, 661, 341 |
31 | 446, 31, 31, 661, 341 |
446, 1, 1, 661, 11 |
Multiply the prime numbers at the bottom and the left side.
19 x 31 x 446 x 1 x 1 x 661 x 11 = 1910048074
Therefore, the lowest common multiple of 446,589,589,661,341 is 1910048074.
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.
446 x 589 x 589 x 661 x 341 = 34875567783166
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.
446 : 1, 2, 223, 446
589 : 1, 19, 31, 589
589 : 1, 19, 31, 589
661 : 1, 661
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,589,589,661,341, is 1.
Now, the common factors can be found like this.
446:2x 223
589:19x 31
589:19x 31
661:661
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 31x 31 = 18259
Therefore, the value for common factors is 18259.
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 = 34875567783166/(1x18259)
LCM = 34875567783166/18259
LCM = 1910048074
Thus, we can understand that the LCM of 446,589,589,661,341 is 1910048074.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 446, 589, 589, 661, 341?
Answer: LCM of 446, 589, 589, 661, 341 is 1910048074.
2. How to calculate the LCM of 446, 589, 589, 661, 341?
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 446, 589, 589, 661, 341.
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}.