Find the LCM of 869, 454, 900, 220, 925 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 869, 454, 900, 220, 925. So, keep reading to learn more.
Given numbers are 869,454,900,220,925
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,454,900,220,925 is 6568857900.
Find LCM of 869,454,900,220,925 with Prime Factorization
2 | 869, 454, 900, 220, 925 |
2 | 869, 227, 450, 110, 925 |
5 | 869, 227, 225, 55, 925 |
5 | 869, 227, 45, 11, 185 |
11 | 869, 227, 9, 11, 37 |
79, 227, 9, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 11 x 79 x 227 x 9 x 1 x 37 = 6568857900
Therefore, the lowest common multiple of 869,454,900,220,925 is 6568857900.
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.
869 x 454 x 900 x 220 x 925 = 72257436900000
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.
869 : 1, 11, 79, 869
454 : 1, 2, 227, 454
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
925 : 1, 5, 25, 37, 185, 925
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,454,900,220,925, is 1.
Now, the common factors can be found like this.
869:11x 79
454:2x 227
900:2x 2x 3x 3x 5x 5
220:2x 2x 5x 11
925:5x 5x 37
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 2x 5x 5x 5x 11 = 11000
Therefore, the value for common factors is 11000.
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 = 72257436900000/(1x11000)
LCM = 72257436900000/11000
LCM = 6568857900
Thus, we can understand that the LCM of 869,454,900,220,925 is 6568857900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 869, 454, 900, 220, 925?
Answer: LCM of 869, 454, 900, 220, 925 is 6568857900.
2. How to calculate the LCM of 869, 454, 900, 220, 925?
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 869, 454, 900, 220, 925.
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}.