LCM of 527, 645, 860, 901, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 527, 645, 860, 901, 550 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 527, 645, 860, 901, 550. So, keep reading to learn more.
Given numbers are 527,645,860,901,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,645,860,901,550 is 3963408900.
Find LCM of 527,645,860,901,550 with Prime Factorization
| 2 | 527, 645, 860, 901, 550 |
| 5 | 527, 645, 430, 901, 275 |
| 17 | 527, 129, 86, 901, 55 |
| 43 | 31, 129, 86, 53, 55 |
| 31, 3, 2, 53, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 43 x 31 x 3 x 2 x 53 x 55 = 3963408900
Therefore, the lowest common multiple of 527,645,860,901,550 is 3963408900.
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.
527 x 645 x 860 x 901 x 550 = 144862595295000
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.
527 : 1, 17, 31, 527
645 : 1, 3, 5, 15, 43, 129, 215, 645
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
901 : 1, 17, 53, 901
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,645,860,901,550, is 1.
Now, the common factors can be found like this.
527:17x 31
645:3x 5x 43
860:2x 2x 5x 43
901:17x 53
550:2x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 17x 43 = 36550
Therefore, the value for common factors is 36550.
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 = 144862595295000/(1x36550)
LCM = 144862595295000/36550
LCM = 3963408900
Thus, we can understand that the LCM of 527,645,860,901,550 is 3963408900.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 527, 645, 860, 901, 550
1. What is the LCM of 527, 645, 860, 901, 550?
Answer: LCM of 527, 645, 860, 901, 550 is 3963408900.
2. How to calculate the LCM of 527, 645, 860, 901, 550?
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 527, 645, 860, 901, 550.
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}.