Find the LCM of 521, 814, 115, 524, 705 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 521, 814, 115, 524, 705. So, keep reading to learn more.
Given numbers are 521,814,115,524,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,814,115,524,705 is 1801691263020.
Find LCM of 521,814,115,524,705 with Prime Factorization
2 | 521, 814, 115, 524, 705 |
5 | 521, 407, 115, 262, 705 |
521, 407, 23, 262, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 521 x 407 x 23 x 262 x 141 = 1801691263020
Therefore, the lowest common multiple of 521,814,115,524,705 is 1801691263020.
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.
521 x 814 x 115 x 524 x 705 = 18016912630200
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.
521 : 1, 521
814 : 1, 2, 11, 22, 37, 74, 407, 814
115 : 1, 5, 23, 115
524 : 1, 2, 4, 131, 262, 524
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,814,115,524,705, is 1.
Now, the common factors can be found like this.
521:521
814:2x 11x 37
115:5x 23
524:2x 2x 131
705:3x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 18016912630200/(1x10)
LCM = 18016912630200/10
LCM = 1801691263020
Thus, we can understand that the LCM of 521,814,115,524,705 is 1801691263020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 521, 814, 115, 524, 705?
Answer: LCM of 521, 814, 115, 524, 705 is 1801691263020.
2. How to calculate the LCM of 521, 814, 115, 524, 705?
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 521, 814, 115, 524, 705.
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}.