Find the LCM of 433, 202, 645, 489, 555 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 433, 202, 645, 489, 555. So, keep reading to learn more.
Given numbers are 433,202,645,489,555
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,202,645,489,555 is 340242302670.
Find LCM of 433,202,645,489,555 with Prime Factorization
3 | 433, 202, 645, 489, 555 |
5 | 433, 202, 215, 163, 185 |
433, 202, 43, 163, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 433 x 202 x 43 x 163 x 37 = 340242302670
Therefore, the lowest common multiple of 433,202,645,489,555 is 340242302670.
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.
433 x 202 x 645 x 489 x 555 = 15310903620150
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.
433 : 1, 433
202 : 1, 2, 101, 202
645 : 1, 3, 5, 15, 43, 129, 215, 645
489 : 1, 3, 163, 489
555 : 1, 3, 5, 15, 37, 111, 185, 555
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,202,645,489,555, is 1.
Now, the common factors can be found like this.
433:433
202:2x 101
645:3x 5x 43
489:3x 163
555:3x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 15310903620150/(1x45)
LCM = 15310903620150/45
LCM = 340242302670
Thus, we can understand that the LCM of 433,202,645,489,555 is 340242302670.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 433, 202, 645, 489, 555?
Answer: LCM of 433, 202, 645, 489, 555 is 340242302670.
2. How to calculate the LCM of 433, 202, 645, 489, 555?
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 433, 202, 645, 489, 555.
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}.