LCM of 916, 745, 270, 529, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 745, 270, 529, 297 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 916, 745, 270, 529, 297. So, keep reading to learn more.
Given numbers are 916,745,270,529,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,745,270,529,297 is 107217053460.
Find LCM of 916,745,270,529,297 with Prime Factorization
| 2 | 916, 745, 270, 529, 297 |
| 3 | 458, 745, 135, 529, 297 |
| 3 | 458, 745, 45, 529, 99 |
| 3 | 458, 745, 15, 529, 33 |
| 5 | 458, 745, 5, 529, 11 |
| 458, 149, 1, 529, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 458 x 149 x 1 x 529 x 11 = 107217053460
Therefore, the lowest common multiple of 916,745,270,529,297 is 107217053460.
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.
916 x 745 x 270 x 529 x 297 = 28948604434200
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.
916 : 1, 2, 4, 229, 458, 916
745 : 1, 5, 149, 745
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
529 : 1, 23, 529
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,745,270,529,297, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
745:5x 149
270:2x 3x 3x 3x 5
529:23x 23
297:3x 3x 3x 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 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 28948604434200/(1x270)
LCM = 28948604434200/270
LCM = 107217053460
Thus, we can understand that the LCM of 916,745,270,529,297 is 107217053460.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 916, 745, 270, 529, 297
1. What is the LCM of 916, 745, 270, 529, 297?
Answer: LCM of 916, 745, 270, 529, 297 is 107217053460.
2. How to calculate the LCM of 916, 745, 270, 529, 297?
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 916, 745, 270, 529, 297.
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}.