Find the LCM of 570, 735, 304, 704, 943 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 570, 735, 304, 704, 943. So, keep reading to learn more.
Given numbers are 570,735,304,704,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,735,304,704,943 is 9270972480.
Find LCM of 570,735,304,704,943 with Prime Factorization
2 | 570, 735, 304, 704, 943 |
2 | 285, 735, 152, 352, 943 |
2 | 285, 735, 76, 176, 943 |
2 | 285, 735, 38, 88, 943 |
3 | 285, 735, 19, 44, 943 |
5 | 95, 245, 19, 44, 943 |
19 | 19, 49, 19, 44, 943 |
1, 49, 1, 44, 943 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 19 x 1 x 49 x 1 x 44 x 943 = 9270972480
Therefore, the lowest common multiple of 570,735,304,704,943 is 9270972480.
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.
570 x 735 x 304 x 704 x 943 = 84551269017600
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,735,304,704,943, is 1.
Now, the common factors can be found like this.
570:2x 3x 5x 19
735:3x 5x 7x 7
304:2x 2x 2x 2x 19
704:2x 2x 2x 2x 2x 2x 11
943:23x 41
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 2x 2x 2x 3x 5x 19 = 9120
Therefore, the value for common factors is 9120.
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 = 84551269017600/(1x9120)
LCM = 84551269017600/9120
LCM = 9270972480
Thus, we can understand that the LCM of 570,735,304,704,943 is 9270972480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 570, 735, 304, 704, 943?
Answer: LCM of 570, 735, 304, 704, 943 is 9270972480.
2. How to calculate the LCM of 570, 735, 304, 704, 943?
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 570, 735, 304, 704, 943.
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}.