Find the LCM of 720, 830, 423, 558, 913 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 720, 830, 423, 558, 913. So, keep reading to learn more.
Given numbers are 720,830,423,558,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,830,423,558,913 is 957773520.
Find LCM of 720,830,423,558,913 with Prime Factorization
2 | 720, 830, 423, 558, 913 |
3 | 360, 415, 423, 279, 913 |
3 | 120, 415, 141, 93, 913 |
5 | 40, 415, 47, 31, 913 |
83 | 8, 83, 47, 31, 913 |
8, 1, 47, 31, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 83 x 8 x 1 x 47 x 31 x 11 = 957773520
Therefore, the lowest common multiple of 720,830,423,558,913 is 957773520.
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.
720 x 830 x 423 x 558 x 913 = 128782227499200
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.
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
830 : 1, 2, 5, 10, 83, 166, 415, 830
423 : 1, 3, 9, 47, 141, 423
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,830,423,558,913, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
830:2x 5x 83
423:3x 3x 47
558:2x 3x 3x 31
913:11x 83
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 3x 3x 3x 5x 83 = 134460
Therefore, the value for common factors is 134460.
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 = 128782227499200/(1x134460)
LCM = 128782227499200/134460
LCM = 957773520
Thus, we can understand that the LCM of 720,830,423,558,913 is 957773520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 720, 830, 423, 558, 913?
Answer: LCM of 720, 830, 423, 558, 913 is 957773520.
2. How to calculate the LCM of 720, 830, 423, 558, 913?
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 720, 830, 423, 558, 913.
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}.