Find the LCM of 722, 475, 255, 986, 567 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 722, 475, 255, 986, 567. So, keep reading to learn more.
Given numbers are 722,475,255,986,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,475,255,986,567 is 5045534550.
Find LCM of 722,475,255,986,567 with Prime Factorization
2 | 722, 475, 255, 986, 567 |
3 | 361, 475, 255, 493, 567 |
5 | 361, 475, 85, 493, 189 |
17 | 361, 95, 17, 493, 189 |
19 | 361, 95, 1, 29, 189 |
19, 5, 1, 29, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 19 x 19 x 5 x 1 x 29 x 189 = 5045534550
Therefore, the lowest common multiple of 722,475,255,986,567 is 5045534550.
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.
722 x 475 x 255 x 986 x 567 = 48891229789500
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.
722 : 1, 2, 19, 38, 361, 722
475 : 1, 5, 19, 25, 95, 475
255 : 1, 3, 5, 15, 17, 51, 85, 255
986 : 1, 2, 17, 29, 34, 58, 493, 986
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,475,255,986,567, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
475:5x 5x 19
255:3x 5x 17
986:2x 17x 29
567:3x 3x 3x 3x 7
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 5x 17x 19 = 9690
Therefore, the value for common factors is 9690.
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 = 48891229789500/(1x9690)
LCM = 48891229789500/9690
LCM = 5045534550
Thus, we can understand that the LCM of 722,475,255,986,567 is 5045534550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 722, 475, 255, 986, 567?
Answer: LCM of 722, 475, 255, 986, 567 is 5045534550.
2. How to calculate the LCM of 722, 475, 255, 986, 567?
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 722, 475, 255, 986, 567.
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}.