LCM of 513, 707, 352, 171, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 707, 352, 171, 957 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 513, 707, 352, 171, 957. So, keep reading to learn more.
Given numbers are 513,707,352,171,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,707,352,171,957 is 3702349728.
Find LCM of 513,707,352,171,957 with Prime Factorization
| 3 | 513, 707, 352, 171, 957 |
| 3 | 171, 707, 352, 57, 319 |
| 11 | 19, 707, 352, 57, 319 |
| 19 | 19, 707, 32, 57, 29 |
| 1, 707, 32, 3, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 19 x 1 x 707 x 32 x 3 x 29 = 3702349728
Therefore, the lowest common multiple of 513,707,352,171,957 is 3702349728.
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.
513 x 707 x 352 x 171 x 957 = 20892359515104
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
707 : 1, 7, 101, 707
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
171 : 1, 3, 9, 19, 57, 171
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,707,352,171,957, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
707:7x 101
352:2x 2x 2x 2x 2x 11
171:3x 3x 19
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 11x 19 = 5643
Therefore, the value for common factors is 5643.
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 = 20892359515104/(1x5643)
LCM = 20892359515104/5643
LCM = 3702349728
Thus, we can understand that the LCM of 513,707,352,171,957 is 3702349728.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 513, 707, 352, 171, 957
1. What is the LCM of 513, 707, 352, 171, 957?
Answer: LCM of 513, 707, 352, 171, 957 is 3702349728.
2. How to calculate the LCM of 513, 707, 352, 171, 957?
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 513, 707, 352, 171, 957.
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}.