Find the LCM of 813, 124, 724, 889, 525 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 813, 124, 724, 889, 525. So, keep reading to learn more.
Given numbers are 813,124,724,889,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,124,724,889,525 is 405538952700.
Find LCM of 813,124,724,889,525 with Prime Factorization
2 | 813, 124, 724, 889, 525 |
2 | 813, 62, 362, 889, 525 |
3 | 813, 31, 181, 889, 525 |
7 | 271, 31, 181, 889, 175 |
271, 31, 181, 127, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 271 x 31 x 181 x 127 x 25 = 405538952700
Therefore, the lowest common multiple of 813,124,724,889,525 is 405538952700.
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.
813 x 124 x 724 x 889 x 525 = 34065272026800
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.
813 : 1, 3, 271, 813
124 : 1, 2, 4, 31, 62, 124
724 : 1, 2, 4, 181, 362, 724
889 : 1, 7, 127, 889
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,124,724,889,525, is 1.
Now, the common factors can be found like this.
813:3x 271
124:2x 2x 31
724:2x 2x 181
889:7x 127
525:3x 5x 5x 7
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 34065272026800/(1x84)
LCM = 34065272026800/84
LCM = 405538952700
Thus, we can understand that the LCM of 813,124,724,889,525 is 405538952700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 813, 124, 724, 889, 525?
Answer: LCM of 813, 124, 724, 889, 525 is 405538952700.
2. How to calculate the LCM of 813, 124, 724, 889, 525?
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 813, 124, 724, 889, 525.
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}.