LCM of 110, 517, 131, 282, 555
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 517, 131, 282, 555 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 110, 517, 131, 282, 555. So, keep reading to learn more.
Given numbers are 110,517,131,282,555
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,517,131,282,555 is 75176970.
Find LCM of 110,517,131,282,555 with Prime Factorization
| 2 | 110, 517, 131, 282, 555 |
| 3 | 55, 517, 131, 141, 555 |
| 5 | 55, 517, 131, 47, 185 |
| 11 | 11, 517, 131, 47, 37 |
| 47 | 1, 47, 131, 47, 37 |
| 1, 1, 131, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 47 x 1 x 1 x 131 x 1 x 37 = 75176970
Therefore, the lowest common multiple of 110,517,131,282,555 is 75176970.
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.
110 x 517 x 131 x 282 x 555 = 1165994804700
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
517 : 1, 11, 47, 517
131 : 1, 131
282 : 1, 2, 3, 6, 47, 94, 141, 282
555 : 1, 3, 5, 15, 37, 111, 185, 555
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,517,131,282,555, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
517:11x 47
131:131
282:2x 3x 47
555:3x 5x 37
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 5x 11x 47 = 15510
Therefore, the value for common factors is 15510.
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 = 1165994804700/(1x15510)
LCM = 1165994804700/15510
LCM = 75176970
Thus, we can understand that the LCM of 110,517,131,282,555 is 75176970.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 110, 517, 131, 282, 555
1. What is the LCM of 110, 517, 131, 282, 555?
Answer: LCM of 110, 517, 131, 282, 555 is 75176970.
2. How to calculate the LCM of 110, 517, 131, 282, 555?
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 110, 517, 131, 282, 555.
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}.