Find the LCM of 487, 715, 737, 409, 659 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 487, 715, 737, 409, 659. So, keep reading to learn more.
Given numbers are 487,715,737,409,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,715,737,409,659 is 6288086804285.
Find LCM of 487,715,737,409,659 with Prime Factorization
11 | 487, 715, 737, 409, 659 |
487, 65, 67, 409, 659 |
Multiply the prime numbers at the bottom and the left side.
11 x 487 x 65 x 67 x 409 x 659 = 6288086804285
Therefore, the lowest common multiple of 487,715,737,409,659 is 6288086804285.
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.
487 x 715 x 737 x 409 x 659 = 69168954847135
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.
487 : 1, 487
715 : 1, 5, 11, 13, 55, 65, 143, 715
737 : 1, 11, 67, 737
409 : 1, 409
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,715,737,409,659, is 1.
Now, the common factors can be found like this.
487:487
715:5x 11x 13
737:11x 67
409:409
659:659
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 69168954847135/(1x11)
LCM = 69168954847135/11
LCM = 6288086804285
Thus, we can understand that the LCM of 487,715,737,409,659 is 6288086804285.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 715, 737, 409, 659?
Answer: LCM of 487, 715, 737, 409, 659 is 6288086804285.
2. How to calculate the LCM of 487, 715, 737, 409, 659?
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 487, 715, 737, 409, 659.
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}.