Find the LCM of 423, 854, 425, 505, 610 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 423, 854, 425, 505, 610. So, keep reading to learn more.
Given numbers are 423,854,425,505,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 423,854,425,505,610 is 15506312850.
Find LCM of 423,854,425,505,610 with Prime Factorization
2 | 423, 854, 425, 505, 610 |
5 | 423, 427, 425, 505, 305 |
61 | 423, 427, 85, 101, 61 |
423, 7, 85, 101, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 61 x 423 x 7 x 85 x 101 x 1 = 15506312850
Therefore, the lowest common multiple of 423,854,425,505,610 is 15506312850.
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.
423 x 854 x 425 x 505 x 610 = 47294254192500
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.
423 : 1, 3, 9, 47, 141, 423
854 : 1, 2, 7, 14, 61, 122, 427, 854
425 : 1, 5, 17, 25, 85, 425
505 : 1, 5, 101, 505
610 : 1, 2, 5, 10, 61, 122, 305, 610
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,854,425,505,610, is 1.
Now, the common factors can be found like this.
423:3x 3x 47
854:2x 7x 61
425:5x 5x 17
505:5x 101
610:2x 5x 61
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 61 = 3050
Therefore, the value for common factors is 3050.
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 = 47294254192500/(1x3050)
LCM = 47294254192500/3050
LCM = 15506312850
Thus, we can understand that the LCM of 423,854,425,505,610 is 15506312850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 423, 854, 425, 505, 610?
Answer: LCM of 423, 854, 425, 505, 610 is 15506312850.
2. How to calculate the LCM of 423, 854, 425, 505, 610?
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 423, 854, 425, 505, 610.
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}.