LCM of 581, 914, 532, 484, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 581, 914, 532, 484, 278 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 581, 914, 532, 484, 278. So, keep reading to learn more.
Given numbers are 581,914,532,484,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 581,914,532,484,278 is 339395512148.
Find LCM of 581,914,532,484,278 with Prime Factorization
| 2 | 581, 914, 532, 484, 278 |
| 2 | 581, 457, 266, 242, 139 |
| 7 | 581, 457, 133, 121, 139 |
| 83, 457, 19, 121, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 83 x 457 x 19 x 121 x 139 = 339395512148
Therefore, the lowest common multiple of 581,914,532,484,278 is 339395512148.
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.
581 x 914 x 532 x 484 x 278 = 38012297360576
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.
581 : 1, 7, 83, 581
914 : 1, 2, 457, 914
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 581,914,532,484,278, is 1.
Now, the common factors can be found like this.
581:7x 83
914:2x 457
532:2x 2x 7x 19
484:2x 2x 11x 11
278:2x 139
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 7 = 112
Therefore, the value for common factors is 112.
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 = 38012297360576/(1x112)
LCM = 38012297360576/112
LCM = 339395512148
Thus, we can understand that the LCM of 581,914,532,484,278 is 339395512148.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 581, 914, 532, 484, 278
1. What is the LCM of 581, 914, 532, 484, 278?
Answer: LCM of 581, 914, 532, 484, 278 is 339395512148.
2. How to calculate the LCM of 581, 914, 532, 484, 278?
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 581, 914, 532, 484, 278.
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}.