LCM of 515, 825, 974, 259, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 825, 974, 259, 539 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 515, 825, 974, 259, 539. So, keep reading to learn more.
Given numbers are 515,825,974,259,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,825,974,259,539 is 150054123450.
Find LCM of 515,825,974,259,539 with Prime Factorization
| 5 | 515, 825, 974, 259, 539 |
| 7 | 103, 165, 974, 259, 539 |
| 11 | 103, 165, 974, 37, 77 |
| 103, 15, 974, 37, 7 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 103 x 15 x 974 x 37 x 7 = 150054123450
Therefore, the lowest common multiple of 515,825,974,259,539 is 150054123450.
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.
515 x 825 x 974 x 259 x 539 = 57770837528250
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.
515 : 1, 5, 103, 515
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
974 : 1, 2, 487, 974
259 : 1, 7, 37, 259
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,825,974,259,539, is 1.
Now, the common factors can be found like this.
515:5x 103
825:3x 5x 5x 11
974:2x 487
259:7x 37
539:7x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 11 = 385
Therefore, the value for common factors is 385.
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 = 57770837528250/(1x385)
LCM = 57770837528250/385
LCM = 150054123450
Thus, we can understand that the LCM of 515,825,974,259,539 is 150054123450.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 515, 825, 974, 259, 539
1. What is the LCM of 515, 825, 974, 259, 539?
Answer: LCM of 515, 825, 974, 259, 539 is 150054123450.
2. How to calculate the LCM of 515, 825, 974, 259, 539?
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 515, 825, 974, 259, 539.
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}.