Find the LCM of 425, 365, 245, 782, 880 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 425, 365, 245, 782, 880. So, keep reading to learn more.
Given numbers are 425,365,245,782,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 425,365,245,782,880 is 6153870800.
Find LCM of 425,365,245,782,880 with Prime Factorization
2 | 425, 365, 245, 782, 880 |
5 | 425, 365, 245, 391, 440 |
17 | 85, 73, 49, 391, 88 |
5, 73, 49, 23, 88 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 5 x 73 x 49 x 23 x 88 = 6153870800
Therefore, the lowest common multiple of 425,365,245,782,880 is 6153870800.
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.
425 x 365 x 245 x 782 x 880 = 26153950900000
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.
425 : 1, 5, 17, 25, 85, 425
365 : 1, 5, 73, 365
245 : 1, 5, 7, 35, 49, 245
782 : 1, 2, 17, 23, 34, 46, 391, 782
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 425,365,245,782,880, is 1.
Now, the common factors can be found like this.
425:5x 5x 17
365:5x 73
245:5x 7x 7
782:2x 17x 23
880:2x 2x 2x 2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5x 17 = 4250
Therefore, the value for common factors is 4250.
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 = 26153950900000/(1x4250)
LCM = 26153950900000/4250
LCM = 6153870800
Thus, we can understand that the LCM of 425,365,245,782,880 is 6153870800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 425, 365, 245, 782, 880?
Answer: LCM of 425, 365, 245, 782, 880 is 6153870800.
2. How to calculate the LCM of 425, 365, 245, 782, 880?
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 425, 365, 245, 782, 880.
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}.