LCM of 515, 710, 409, 352, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 710, 409, 352, 506 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 515, 710, 409, 352, 506. So, keep reading to learn more.
Given numbers are 515,710,409,352,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,710,409,352,506 is 121076368160.
Find LCM of 515,710,409,352,506 with Prime Factorization
| 2 | 515, 710, 409, 352, 506 |
| 5 | 515, 355, 409, 176, 253 |
| 11 | 103, 71, 409, 176, 253 |
| 103, 71, 409, 16, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 103 x 71 x 409 x 16 x 23 = 121076368160
Therefore, the lowest common multiple of 515,710,409,352,506 is 121076368160.
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.
515 x 710 x 409 x 352 x 506 = 26636800995200
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.
515 : 1, 5, 103, 515
710 : 1, 2, 5, 10, 71, 142, 355, 710
409 : 1, 409
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,710,409,352,506, is 1.
Now, the common factors can be found like this.
515:5x 103
710:2x 5x 71
409:409
352:2x 2x 2x 2x 2x 11
506:2x 11x 23
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 26636800995200/(1x220)
LCM = 26636800995200/220
LCM = 121076368160
Thus, we can understand that the LCM of 515,710,409,352,506 is 121076368160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 515, 710, 409, 352, 506
1. What is the LCM of 515, 710, 409, 352, 506?
Answer: LCM of 515, 710, 409, 352, 506 is 121076368160.
2. How to calculate the LCM of 515, 710, 409, 352, 506?
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 515, 710, 409, 352, 506.
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}.