Find the LCM of 659, 444, 663, 417, 716 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 659, 444, 663, 417, 716. So, keep reading to learn more.
Given numbers are 659,444,663,417,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,444,663,417,716 is 1608897917796.
Find LCM of 659,444,663,417,716 with Prime Factorization
2 | 659, 444, 663, 417, 716 |
2 | 659, 222, 663, 417, 358 |
3 | 659, 111, 663, 417, 179 |
659, 37, 221, 139, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 659 x 37 x 221 x 139 x 179 = 1608897917796
Therefore, the lowest common multiple of 659,444,663,417,716 is 1608897917796.
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.
659 x 444 x 663 x 417 x 716 = 57920325040656
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.
659 : 1, 659
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
663 : 1, 3, 13, 17, 39, 51, 221, 663
417 : 1, 3, 139, 417
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,444,663,417,716, is 1.
Now, the common factors can be found like this.
659:659
444:2x 2x 3x 37
663:3x 13x 17
417:3x 139
716:2x 2x 179
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 57920325040656/(1x36)
LCM = 57920325040656/36
LCM = 1608897917796
Thus, we can understand that the LCM of 659,444,663,417,716 is 1608897917796.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 659, 444, 663, 417, 716?
Answer: LCM of 659, 444, 663, 417, 716 is 1608897917796.
2. How to calculate the LCM of 659, 444, 663, 417, 716?
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 659, 444, 663, 417, 716.
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}.