Find the LCM of 407, 744, 685, 990, 768 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 407, 744, 685, 990, 768. So, keep reading to learn more.
Given numbers are 407,744,685,990,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,744,685,990,768 is 19912654080.
Find LCM of 407,744,685,990,768 with Prime Factorization
2 | 407, 744, 685, 990, 768 |
2 | 407, 372, 685, 495, 384 |
2 | 407, 186, 685, 495, 192 |
3 | 407, 93, 685, 495, 96 |
5 | 407, 31, 685, 165, 32 |
11 | 407, 31, 137, 33, 32 |
37, 31, 137, 3, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 37 x 31 x 137 x 3 x 32 = 19912654080
Therefore, the lowest common multiple of 407,744,685,990,768 is 19912654080.
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.
407 x 744 x 685 x 990 x 768 = 157708220313600
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.
407 : 1, 11, 37, 407
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
685 : 1, 5, 137, 685
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,744,685,990,768, is 1.
Now, the common factors can be found like this.
407:11x 37
744:2x 2x 2x 3x 31
685:5x 137
990:2x 3x 3x 5x 11
768:2x 2x 2x 2x 2x 2x 2x 2x 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 2x 3x 3x 5x 11 = 7920
Therefore, the value for common factors is 7920.
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 = 157708220313600/(1x7920)
LCM = 157708220313600/7920
LCM = 19912654080
Thus, we can understand that the LCM of 407,744,685,990,768 is 19912654080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 744, 685, 990, 768?
Answer: LCM of 407, 744, 685, 990, 768 is 19912654080.
2. How to calculate the LCM of 407, 744, 685, 990, 768?
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 407, 744, 685, 990, 768.
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}.