LCM of 492, 514, 771, 790, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 514, 771, 790, 110 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 492, 514, 771, 790, 110. So, keep reading to learn more.
Given numbers are 492,514,771,790,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,514,771,790,110 is 549399180.
Find LCM of 492,514,771,790,110 with Prime Factorization
| 2 | 492, 514, 771, 790, 110 |
| 3 | 246, 257, 771, 395, 55 |
| 5 | 82, 257, 257, 395, 55 |
| 257 | 82, 257, 257, 79, 11 |
| 82, 1, 1, 79, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 257 x 82 x 1 x 1 x 79 x 11 = 549399180
Therefore, the lowest common multiple of 492,514,771,790,110 is 549399180.
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.
492 x 514 x 771 x 790 x 110 = 16943470711200
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
514 : 1, 2, 257, 514
771 : 1, 3, 257, 771
790 : 1, 2, 5, 10, 79, 158, 395, 790
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,514,771,790,110, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
514:2x 257
771:3x 257
790:2x 5x 79
110:2x 5x 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 2x 2x 3x 5x 257 = 30840
Therefore, the value for common factors is 30840.
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 = 16943470711200/(1x30840)
LCM = 16943470711200/30840
LCM = 549399180
Thus, we can understand that the LCM of 492,514,771,790,110 is 549399180.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 492, 514, 771, 790, 110
1. What is the LCM of 492, 514, 771, 790, 110?
Answer: LCM of 492, 514, 771, 790, 110 is 549399180.
2. How to calculate the LCM of 492, 514, 771, 790, 110?
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 492, 514, 771, 790, 110.
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}.