Find the LCM of 703, 960, 185, 495, 407 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 703, 960, 185, 495, 407. So, keep reading to learn more.
Given numbers are 703,960,185,495,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,960,185,495,407 is 22271040.
Find LCM of 703,960,185,495,407 with Prime Factorization
3 | 703, 960, 185, 495, 407 |
5 | 703, 320, 185, 165, 407 |
11 | 703, 64, 37, 33, 407 |
37 | 703, 64, 37, 3, 37 |
19, 64, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 37 x 19 x 64 x 1 x 3 x 1 = 22271040
Therefore, the lowest common multiple of 703,960,185,495,407 is 22271040.
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.
703 x 960 x 185 x 495 x 407 = 25153469352000
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.
703 : 1, 19, 37, 703
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
185 : 1, 5, 37, 185
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,960,185,495,407, is 1.
Now, the common factors can be found like this.
703:19x 37
960:2x 2x 2x 2x 2x 2x 3x 5
185:5x 37
495:3x 3x 5x 11
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 11x 37x 37 = 1129425
Therefore, the value for common factors is 1129425.
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 = 25153469352000/(1x1129425)
LCM = 25153469352000/1129425
LCM = 22271040
Thus, we can understand that the LCM of 703,960,185,495,407 is 22271040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 703, 960, 185, 495, 407?
Answer: LCM of 703, 960, 185, 495, 407 is 22271040.
2. How to calculate the LCM of 703, 960, 185, 495, 407?
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 703, 960, 185, 495, 407.
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}.