Find the LCM of 438, 138, 299, 780, 190 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 438, 138, 299, 780, 190. So, keep reading to learn more.
Given numbers are 438,138,299,780,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 438,138,299,780,190 is 24882780.
Find LCM of 438,138,299,780,190 with Prime Factorization
2 | 438, 138, 299, 780, 190 |
3 | 219, 69, 299, 390, 95 |
5 | 73, 23, 299, 130, 95 |
13 | 73, 23, 299, 26, 19 |
23 | 73, 23, 23, 2, 19 |
73, 1, 1, 2, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 23 x 73 x 1 x 1 x 2 x 19 = 24882780
Therefore, the lowest common multiple of 438,138,299,780,190 is 24882780.
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.
438 x 138 x 299 x 780 x 190 = 2678382439200
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.
438 : 1, 2, 3, 6, 73, 146, 219, 438
138 : 1, 2, 3, 6, 23, 46, 69, 138
299 : 1, 13, 23, 299
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
190 : 1, 2, 5, 10, 19, 38, 95, 190
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,138,299,780,190, is 1.
Now, the common factors can be found like this.
438:2x 3x 73
138:2x 3x 23
299:13x 23
780:2x 2x 3x 5x 13
190:2x 5x 19
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 3x 3x 5x 13x 23 = 107640
Therefore, the value for common factors is 107640.
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 = 2678382439200/(1x107640)
LCM = 2678382439200/107640
LCM = 24882780
Thus, we can understand that the LCM of 438,138,299,780,190 is 24882780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 438, 138, 299, 780, 190?
Answer: LCM of 438, 138, 299, 780, 190 is 24882780.
2. How to calculate the LCM of 438, 138, 299, 780, 190?
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 438, 138, 299, 780, 190.
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}.