Find the LCM of 567, 793, 803, 221, 764 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 567, 793, 803, 221, 764. So, keep reading to learn more.
Given numbers are 567,793,803,221,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,793,803,221,764 is 4689365364684.
Find LCM of 567,793,803,221,764 with Prime Factorization
13 | 567, 793, 803, 221, 764 |
567, 61, 803, 17, 764 |
Multiply the prime numbers at the bottom and the left side.
13 x 567 x 61 x 803 x 17 x 764 = 4689365364684
Therefore, the lowest common multiple of 567,793,803,221,764 is 4689365364684.
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.
567 x 793 x 803 x 221 x 764 = 60961749740892
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
793 : 1, 13, 61, 793
803 : 1, 11, 73, 803
221 : 1, 13, 17, 221
764 : 1, 2, 4, 191, 382, 764
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,793,803,221,764, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
793:13x 61
803:11x 73
221:13x 17
764:2x 2x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 60961749740892/(1x13)
LCM = 60961749740892/13
LCM = 4689365364684
Thus, we can understand that the LCM of 567,793,803,221,764 is 4689365364684.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 793, 803, 221, 764?
Answer: LCM of 567, 793, 803, 221, 764 is 4689365364684.
2. How to calculate the LCM of 567, 793, 803, 221, 764?
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 567, 793, 803, 221, 764.
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}.