LCM of 860, 579, 375, 772
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 860, 579, 375, 772 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 860, 579, 375, 772. So, keep reading to learn more.
Given numbers are 860,579,375,772
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,579,375,772 is 12448500.
Find LCM of 860,579,375,772 with Prime Factorization
| 2 | 860, 579, 375, 772 |
| 2 | 430, 579, 375, 386 |
| 3 | 215, 579, 375, 193 |
| 5 | 215, 193, 125, 193 |
| 193 | 43, 193, 25, 193 |
| 43, 1, 25, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 193 x 43 x 1 x 25 x 1 = 12448500
Therefore, the lowest common multiple of 860,579,375,772 is 12448500.
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.
860 x 579 x 375 x 772 = 144153630000
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
579 : 1, 3, 193, 579
375 : 1, 3, 5, 15, 25, 75, 125, 375
772 : 1, 2, 4, 193, 386, 772
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,579,375,772, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
579:3x 193
375:3x 5x 5x 5
772:2x 2x 193
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 3x 5x 193 = 11580
Therefore, the value for common factors is 11580.
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 = 144153630000/(1x11580)
LCM = 144153630000/11580
LCM = 12448500
Thus, we can understand that the LCM of 860,579,375,772 is 12448500.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 860, 579, 375, 772
1. What is the LCM of 860, 579, 375, 772?
Answer: LCM of 860, 579, 375, 772 is 12448500.
2. How to calculate the LCM of 860, 579, 375, 772?
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 860, 579, 375, 772.
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}.