Find the LCM of 130, 770, 850, 575, 561 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 130, 770, 850, 575, 561. So, keep reading to learn more.
Given numbers are 130,770,850,575,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,770,850,575,561 is 58708650.
Find LCM of 130,770,850,575,561 with Prime Factorization
2 | 130, 770, 850, 575, 561 |
5 | 65, 385, 425, 575, 561 |
5 | 13, 77, 85, 115, 561 |
11 | 13, 77, 17, 23, 561 |
17 | 13, 7, 17, 23, 51 |
13, 7, 1, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 11 x 17 x 13 x 7 x 1 x 23 x 3 = 58708650
Therefore, the lowest common multiple of 130,770,850,575,561 is 58708650.
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.
130 x 770 x 850 x 575 x 561 = 27446293875000
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
575 : 1, 5, 23, 25, 115, 575
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,770,850,575,561, is 1.
Now, the common factors can be found like this.
130:2x 5x 13
770:2x 5x 7x 11
850:2x 5x 5x 17
575:5x 5x 23
561:3x 11x 17
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 5x 5x 5x 5x 11x 17 = 467500
Therefore, the value for common factors is 467500.
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 = 27446293875000/(1x467500)
LCM = 27446293875000/467500
LCM = 58708650
Thus, we can understand that the LCM of 130,770,850,575,561 is 58708650.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 130, 770, 850, 575, 561?
Answer: LCM of 130, 770, 850, 575, 561 is 58708650.
2. How to calculate the LCM of 130, 770, 850, 575, 561?
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 130, 770, 850, 575, 561.
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}.