Find the LCM of 220, 100, 344, 583, 645 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 220, 100, 344, 583, 645. So, keep reading to learn more.
Given numbers are 220,100,344,583,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,100,344,583,645 is 15041400.
Find LCM of 220,100,344,583,645 with Prime Factorization
2 | 220, 100, 344, 583, 645 |
2 | 110, 50, 172, 583, 645 |
5 | 55, 25, 86, 583, 645 |
11 | 11, 5, 86, 583, 129 |
43 | 1, 5, 86, 53, 129 |
1, 5, 2, 53, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 43 x 1 x 5 x 2 x 53 x 3 = 15041400
Therefore, the lowest common multiple of 220,100,344,583,645 is 15041400.
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.
220 x 100 x 344 x 583 x 645 = 2845832880000
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
344 : 1, 2, 4, 8, 43, 86, 172, 344
583 : 1, 11, 53, 583
645 : 1, 3, 5, 15, 43, 129, 215, 645
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,100,344,583,645, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
100:2x 2x 5x 5
344:2x 2x 2x 43
583:11x 53
645:3x 5x 43
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 2x 2x 5x 5x 11x 43 = 189200
Therefore, the value for common factors is 189200.
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 = 2845832880000/(1x189200)
LCM = 2845832880000/189200
LCM = 15041400
Thus, we can understand that the LCM of 220,100,344,583,645 is 15041400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 220, 100, 344, 583, 645?
Answer: LCM of 220, 100, 344, 583, 645 is 15041400.
2. How to calculate the LCM of 220, 100, 344, 583, 645?
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 220, 100, 344, 583, 645.
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}.