Find the LCM of 417, 703, 575, 736, 397 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 417, 703, 575, 736, 397. So, keep reading to learn more.
Given numbers are 417,703,575,736,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,703,575,736,397 is 2141409424800.
Find LCM of 417,703,575,736,397 with Prime Factorization
23 | 417, 703, 575, 736, 397 |
417, 703, 25, 32, 397 |
Multiply the prime numbers at the bottom and the left side.
23 x 417 x 703 x 25 x 32 x 397 = 2141409424800
Therefore, the lowest common multiple of 417,703,575,736,397 is 2141409424800.
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.
417 x 703 x 575 x 736 x 397 = 49252416770400
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.
417 : 1, 3, 139, 417
703 : 1, 19, 37, 703
575 : 1, 5, 23, 25, 115, 575
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,703,575,736,397, is 1.
Now, the common factors can be found like this.
417:3x 139
703:19x 37
575:5x 5x 23
736:2x 2x 2x 2x 2x 23
397:397
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 49252416770400/(1x23)
LCM = 49252416770400/23
LCM = 2141409424800
Thus, we can understand that the LCM of 417,703,575,736,397 is 2141409424800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 417, 703, 575, 736, 397?
Answer: LCM of 417, 703, 575, 736, 397 is 2141409424800.
2. How to calculate the LCM of 417, 703, 575, 736, 397?
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 417, 703, 575, 736, 397.
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}.