Find the LCM of 245, 407, 355, 659, 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 245, 407, 355, 659, 659. So, keep reading to learn more.
Given numbers are 245,407,355,659,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 245,407,355,659,659 is 4665565135.
Find LCM of 245,407,355,659,659 with Prime Factorization
5 | 245, 407, 355, 659, 659 |
659 | 49, 407, 71, 659, 659 |
49, 407, 71, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 659 x 49 x 407 x 71 x 1 x 1 = 4665565135
Therefore, the lowest common multiple of 245,407,355,659,659 is 4665565135.
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.
245 x 407 x 355 x 659 x 659 = 15373037119825
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.
245 : 1, 5, 7, 35, 49, 245
407 : 1, 11, 37, 407
355 : 1, 5, 71, 355
659 : 1, 659
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,407,355,659,659, is 1.
Now, the common factors can be found like this.
245:5x 7x 7
407:11x 37
355:5x 71
659:659
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.
5x 659 = 3295
Therefore, the value for common factors is 3295.
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 = 15373037119825/(1x3295)
LCM = 15373037119825/3295
LCM = 4665565135
Thus, we can understand that the LCM of 245,407,355,659,659 is 4665565135.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 245, 407, 355, 659, 659?
Answer: LCM of 245, 407, 355, 659, 659 is 4665565135.
2. How to calculate the LCM of 245, 407, 355, 659, 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 245, 407, 355, 659, 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}.