Find the LCM of 732, 793, 669, 474, 559 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 732, 793, 669, 474, 559. So, keep reading to learn more.
Given numbers are 732,793,669,474,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,793,669,474,559 is 7208664996.
Find LCM of 732,793,669,474,559 with Prime Factorization
2 | 732, 793, 669, 474, 559 |
3 | 366, 793, 669, 237, 559 |
13 | 122, 793, 223, 79, 559 |
61 | 122, 61, 223, 79, 43 |
2, 1, 223, 79, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 61 x 2 x 1 x 223 x 79 x 43 = 7208664996
Therefore, the lowest common multiple of 732,793,669,474,559 is 7208664996.
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.
732 x 793 x 669 x 474 x 559 = 102896484152904
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
793 : 1, 13, 61, 793
669 : 1, 3, 223, 669
474 : 1, 2, 3, 6, 79, 158, 237, 474
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,793,669,474,559, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
793:13x 61
669:3x 223
474:2x 3x 79
559:13x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13x 61 = 14274
Therefore, the value for common factors is 14274.
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 = 102896484152904/(1x14274)
LCM = 102896484152904/14274
LCM = 7208664996
Thus, we can understand that the LCM of 732,793,669,474,559 is 7208664996.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 732, 793, 669, 474, 559?
Answer: LCM of 732, 793, 669, 474, 559 is 7208664996.
2. How to calculate the LCM of 732, 793, 669, 474, 559?
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 732, 793, 669, 474, 559.
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}.