LCM of 170, 139, 782, 598, 685
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 170, 139, 782, 598, 685 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 170, 139, 782, 598, 685. So, keep reading to learn more.
Given numbers are 170,139,782,598,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 170,139,782,598,685 is 967955690.
Find LCM of 170,139,782,598,685 with Prime Factorization
| 2 | 170, 139, 782, 598, 685 |
| 5 | 85, 139, 391, 299, 685 |
| 17 | 17, 139, 391, 299, 137 |
| 23 | 1, 139, 23, 299, 137 |
| 1, 139, 1, 13, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 23 x 1 x 139 x 1 x 13 x 137 = 967955690
Therefore, the lowest common multiple of 170,139,782,598,685 is 967955690.
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.
170 x 139 x 782 x 598 x 685 = 7569413495800
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.
170 : 1, 2, 5, 10, 17, 34, 85, 170
139 : 1, 139
782 : 1, 2, 17, 23, 34, 46, 391, 782
598 : 1, 2, 13, 23, 26, 46, 299, 598
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,139,782,598,685, is 1.
Now, the common factors can be found like this.
170:2x 5x 17
139:139
782:2x 17x 23
598:2x 13x 23
685:5x 137
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 17x 23 = 7820
Therefore, the value for common factors is 7820.
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 = 7569413495800/(1x7820)
LCM = 7569413495800/7820
LCM = 967955690
Thus, we can understand that the LCM of 170,139,782,598,685 is 967955690.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 170, 139, 782, 598, 685
1. What is the LCM of 170, 139, 782, 598, 685?
Answer: LCM of 170, 139, 782, 598, 685 is 967955690.
2. How to calculate the LCM of 170, 139, 782, 598, 685?
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 170, 139, 782, 598, 685.
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}.