Find the LCM of 659, 806, 958, 472, 177 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, 806, 958, 472, 177. So, keep reading to learn more.
Given numbers are 659,806,958,472,177
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,806,958,472,177 is 180131318328.
Find LCM of 659,806,958,472,177 with Prime Factorization
2 | 659, 806, 958, 472, 177 |
59 | 659, 403, 479, 236, 177 |
659, 403, 479, 4, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 659 x 403 x 479 x 4 x 3 = 180131318328
Therefore, the lowest common multiple of 659,806,958,472,177 is 180131318328.
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 806 x 958 x 472 x 177 = 42510991125408
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
806 : 1, 2, 13, 26, 31, 62, 403, 806
958 : 1, 2, 479, 958
472 : 1, 2, 4, 8, 59, 118, 236, 472
177 : 1, 3, 59, 177
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,806,958,472,177, is 1.
Now, the common factors can be found like this.
659:659
806:2x 13x 31
958:2x 479
472:2x 2x 2x 59
177:3x 59
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 59 = 236
Therefore, the value for common factors is 236.
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 = 42510991125408/(1x236)
LCM = 42510991125408/236
LCM = 180131318328
Thus, we can understand that the LCM of 659,806,958,472,177 is 180131318328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 659, 806, 958, 472, 177?
Answer: LCM of 659, 806, 958, 472, 177 is 180131318328.
2. How to calculate the LCM of 659, 806, 958, 472, 177?
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, 806, 958, 472, 177.
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}.