Find the LCM of 612, 909, 442, 187, 432 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 612, 909, 442, 187, 432. So, keep reading to learn more.
Given numbers are 612,909,442,187,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,909,442,187,432 is 106069392.
Find LCM of 612,909,442,187,432 with Prime Factorization
2 | 612, 909, 442, 187, 432 |
2 | 306, 909, 221, 187, 216 |
3 | 153, 909, 221, 187, 108 |
3 | 51, 303, 221, 187, 36 |
17 | 17, 101, 221, 187, 12 |
1, 101, 13, 11, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 1 x 101 x 13 x 11 x 12 = 106069392
Therefore, the lowest common multiple of 612,909,442,187,432 is 106069392.
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.
612 x 909 x 442 x 187 x 432 = 19863827178624
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
909 : 1, 3, 9, 101, 303, 909
442 : 1, 2, 13, 17, 26, 34, 221, 442
187 : 1, 11, 17, 187
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,909,442,187,432, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
909:3x 3x 101
442:2x 13x 17
187:11x 17
432:2x 2x 2x 2x 3x 3x 3
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 3x 3x 17x 17 = 187272
Therefore, the value for common factors is 187272.
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 = 19863827178624/(1x187272)
LCM = 19863827178624/187272
LCM = 106069392
Thus, we can understand that the LCM of 612,909,442,187,432 is 106069392.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 612, 909, 442, 187, 432?
Answer: LCM of 612, 909, 442, 187, 432 is 106069392.
2. How to calculate the LCM of 612, 909, 442, 187, 432?
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 612, 909, 442, 187, 432.
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}.