Find the LCM of 906, 289, 323, 705, 652 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 906, 289, 323, 705, 652. So, keep reading to learn more.
Given numbers are 906,289,323,705,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,289,323,705,652 is 381122952060.
Find LCM of 906,289,323,705,652 with Prime Factorization
2 | 906, 289, 323, 705, 652 |
3 | 453, 289, 323, 705, 326 |
17 | 151, 289, 323, 235, 326 |
151, 17, 19, 235, 326 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 151 x 17 x 19 x 235 x 326 = 381122952060
Therefore, the lowest common multiple of 906,289,323,705,652 is 381122952060.
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.
906 x 289 x 323 x 705 x 652 = 38874541110120
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
289 : 1, 17, 289
323 : 1, 17, 19, 323
705 : 1, 3, 5, 15, 47, 141, 235, 705
652 : 1, 2, 4, 163, 326, 652
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,289,323,705,652, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
289:17x 17
323:17x 19
705:3x 5x 47
652:2x 2x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 38874541110120/(1x102)
LCM = 38874541110120/102
LCM = 381122952060
Thus, we can understand that the LCM of 906,289,323,705,652 is 381122952060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 906, 289, 323, 705, 652?
Answer: LCM of 906, 289, 323, 705, 652 is 381122952060.
2. How to calculate the LCM of 906, 289, 323, 705, 652?
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 906, 289, 323, 705, 652.
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}.