LCM of 514, 121, 514, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 121, 514, 346 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 514, 121, 514, 346. So, keep reading to learn more.
Given numbers are 514,121,514,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,121,514,346 is 10759562.
Find LCM of 514,121,514,346 with Prime Factorization
| 2 | 514, 121, 514, 346 |
| 257 | 257, 121, 257, 173 |
| 1, 121, 1, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 257 x 1 x 121 x 1 x 173 = 10759562
Therefore, the lowest common multiple of 514,121,514,346 is 10759562.
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.
514 x 121 x 514 x 346 = 11060829736
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.
514 : 1, 2, 257, 514
121 : 1, 11, 121
514 : 1, 2, 257, 514
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,121,514,346, is 1.
Now, the common factors can be found like this.
514:2x 257
121:11x 11
514:2x 257
346:2x 173
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 257 = 1028
Therefore, the value for common factors is 1028.
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 = 11060829736/(1x1028)
LCM = 11060829736/1028
LCM = 10759562
Thus, we can understand that the LCM of 514,121,514,346 is 10759562.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 514, 121, 514, 346
1. What is the LCM of 514, 121, 514, 346?
Answer: LCM of 514, 121, 514, 346 is 10759562.
2. How to calculate the LCM of 514, 121, 514, 346?
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 514, 121, 514, 346.
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}.