LCM of 914, 752, 539, 592, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 752, 539, 592, 540 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 914, 752, 539, 592, 540. So, keep reading to learn more.
Given numbers are 914,752,539,592,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,752,539,592,540 is 925248305520.
Find LCM of 914,752,539,592,540 with Prime Factorization
| 2 | 914, 752, 539, 592, 540 |
| 2 | 457, 376, 539, 296, 270 |
| 2 | 457, 188, 539, 148, 135 |
| 2 | 457, 94, 539, 74, 135 |
| 457, 47, 539, 37, 135 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 457 x 47 x 539 x 37 x 135 = 925248305520
Therefore, the lowest common multiple of 914,752,539,592,540 is 925248305520.
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.
914 x 752 x 539 x 592 x 540 = 118431783106560
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.
914 : 1, 2, 457, 914
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
539 : 1, 7, 11, 49, 77, 539
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,752,539,592,540, is 1.
Now, the common factors can be found like this.
914:2x 457
752:2x 2x 2x 2x 47
539:7x 7x 11
592:2x 2x 2x 2x 37
540:2x 2x 3x 3x 3x 5
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 2x 2x 2x 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 118431783106560/(1x128)
LCM = 118431783106560/128
LCM = 925248305520
Thus, we can understand that the LCM of 914,752,539,592,540 is 925248305520.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 914, 752, 539, 592, 540
1. What is the LCM of 914, 752, 539, 592, 540?
Answer: LCM of 914, 752, 539, 592, 540 is 925248305520.
2. How to calculate the LCM of 914, 752, 539, 592, 540?
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 914, 752, 539, 592, 540.
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}.