LCM of 513, 239, 874, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 239, 874, 720 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, 239, 874, 720. So, keep reading to learn more.
Given numbers are 513,239,874,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,239,874,720 is 225596880.
Find LCM of 513,239,874,720 with Prime Factorization
| 2 | 513, 239, 874, 720 |
| 3 | 513, 239, 437, 360 |
| 3 | 171, 239, 437, 120 |
| 19 | 57, 239, 437, 40 |
| 3, 239, 23, 40 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 3 x 239 x 23 x 40 = 225596880
Therefore, the lowest common multiple of 513,239,874,720 is 225596880.
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 239 x 874 x 720 = 77154132960
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
239 : 1, 239
874 : 1, 2, 19, 23, 38, 46, 437, 874
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,239,874,720, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
239:239
874:2x 19x 23
720:2x 2x 2x 2x 3x 3x 5
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 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 77154132960/(1x342)
LCM = 77154132960/342
LCM = 225596880
Thus, we can understand that the LCM of 513,239,874,720 is 225596880.
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, 239, 874, 720
1. What is the LCM of 513, 239, 874, 720?
Answer: LCM of 513, 239, 874, 720 is 225596880.
2. How to calculate the LCM of 513, 239, 874, 720?
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, 239, 874, 720.
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}.