Find the LCM of 906, 412, 476, 315, 707 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, 412, 476, 315, 707. So, keep reading to learn more.
Given numbers are 906,412,476,315,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,412,476,315,707 is 33647671260.
Find LCM of 906,412,476,315,707 with Prime Factorization
2 | 906, 412, 476, 315, 707 |
2 | 453, 206, 238, 315, 707 |
3 | 453, 103, 119, 315, 707 |
7 | 151, 103, 119, 105, 707 |
151, 103, 17, 15, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 151 x 103 x 17 x 15 x 101 = 33647671260
Therefore, the lowest common multiple of 906,412,476,315,707 is 33647671260.
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 412 x 476 x 315 x 707 = 39569661401760
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
412 : 1, 2, 4, 103, 206, 412
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,412,476,315,707, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
412:2x 2x 103
476:2x 2x 7x 17
315:3x 3x 5x 7
707:7x 101
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 7x 7 = 1176
Therefore, the value for common factors is 1176.
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 = 39569661401760/(1x1176)
LCM = 39569661401760/1176
LCM = 33647671260
Thus, we can understand that the LCM of 906,412,476,315,707 is 33647671260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 906, 412, 476, 315, 707?
Answer: LCM of 906, 412, 476, 315, 707 is 33647671260.
2. How to calculate the LCM of 906, 412, 476, 315, 707?
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, 412, 476, 315, 707.
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}.