LCM of 170, 851, 759, 259, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 170, 851, 759, 259, 747 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, 851, 759, 259, 747. So, keep reading to learn more.
Given numbers are 170,851,759,259,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 170,851,759,259,747 is 8321273730.
Find LCM of 170,851,759,259,747 with Prime Factorization
| 3 | 170, 851, 759, 259, 747 |
| 23 | 170, 851, 253, 259, 249 |
| 37 | 170, 37, 11, 259, 249 |
| 170, 1, 11, 7, 249 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 37 x 170 x 1 x 11 x 7 x 249 = 8321273730
Therefore, the lowest common multiple of 170,851,759,259,747 is 8321273730.
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 851 x 759 x 259 x 747 = 21244211832690
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
851 : 1, 23, 37, 851
759 : 1, 3, 11, 23, 33, 69, 253, 759
259 : 1, 7, 37, 259
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,851,759,259,747, is 1.
Now, the common factors can be found like this.
170:2x 5x 17
851:23x 37
759:3x 11x 23
259:7x 37
747:3x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23x 37 = 2553
Therefore, the value for common factors is 2553.
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 = 21244211832690/(1x2553)
LCM = 21244211832690/2553
LCM = 8321273730
Thus, we can understand that the LCM of 170,851,759,259,747 is 8321273730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 170, 851, 759, 259, 747
1. What is the LCM of 170, 851, 759, 259, 747?
Answer: LCM of 170, 851, 759, 259, 747 is 8321273730.
2. How to calculate the LCM of 170, 851, 759, 259, 747?
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, 851, 759, 259, 747.
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}.