Find the LCM of 567, 101, 470, 718, 590 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, 101, 470, 718, 590. So, keep reading to learn more.
Given numbers are 567,101,470,718,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,101,470,718,590 is 570096993690.
Find LCM of 567,101,470,718,590 with Prime Factorization
2 | 567, 101, 470, 718, 590 |
5 | 567, 101, 235, 359, 295 |
567, 101, 47, 359, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 567 x 101 x 47 x 359 x 59 = 570096993690
Therefore, the lowest common multiple of 567,101,470,718,590 is 570096993690.
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 101 x 470 x 718 x 590 = 11401939873800
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
101 : 1, 101
470 : 1, 2, 5, 10, 47, 94, 235, 470
718 : 1, 2, 359, 718
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,101,470,718,590, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
101:101
470:2x 5x 47
718:2x 359
590:2x 5x 59
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 5 = 20
Therefore, the value for common factors is 20.
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 = 11401939873800/(1x20)
LCM = 11401939873800/20
LCM = 570096993690
Thus, we can understand that the LCM of 567,101,470,718,590 is 570096993690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 101, 470, 718, 590?
Answer: LCM of 567, 101, 470, 718, 590 is 570096993690.
2. How to calculate the LCM of 567, 101, 470, 718, 590?
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, 101, 470, 718, 590.
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}.