Find the LCM of 907, 906, 384, 524, 330 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 907, 906, 384, 524, 330. So, keep reading to learn more.
Given numbers are 907,906,384,524,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,906,384,524,330 is 378921671040.
Find LCM of 907,906,384,524,330 with Prime Factorization
2 | 907, 906, 384, 524, 330 |
2 | 907, 453, 192, 262, 165 |
3 | 907, 453, 96, 131, 165 |
907, 151, 32, 131, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 907 x 151 x 32 x 131 x 55 = 378921671040
Therefore, the lowest common multiple of 907,906,384,524,330 is 378921671040.
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.
907 x 906 x 384 x 524 x 330 = 54564720629760
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.
907 : 1, 907
906 : 1, 2, 3, 6, 151, 302, 453, 906
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
524 : 1, 2, 4, 131, 262, 524
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,906,384,524,330, is 1.
Now, the common factors can be found like this.
907:907
906:2x 3x 151
384:2x 2x 2x 2x 2x 2x 2x 3
524:2x 2x 131
330:2x 3x 5x 11
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 54564720629760/(1x144)
LCM = 54564720629760/144
LCM = 378921671040
Thus, we can understand that the LCM of 907,906,384,524,330 is 378921671040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 907, 906, 384, 524, 330?
Answer: LCM of 907, 906, 384, 524, 330 is 378921671040.
2. How to calculate the LCM of 907, 906, 384, 524, 330?
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 907, 906, 384, 524, 330.
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}.