LCM of 513, 960, 874, 979, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 960, 874, 979, 407 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, 960, 874, 979, 407. So, keep reading to learn more.
Given numbers are 513,960,874,979,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,960,874,979,407 is 136766456640.
Find LCM of 513,960,874,979,407 with Prime Factorization
| 2 | 513, 960, 874, 979, 407 |
| 3 | 513, 480, 437, 979, 407 |
| 11 | 171, 160, 437, 979, 407 |
| 19 | 171, 160, 437, 89, 37 |
| 9, 160, 23, 89, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 9 x 160 x 23 x 89 x 37 = 136766456640
Therefore, the lowest common multiple of 513,960,874,979,407 is 136766456640.
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 960 x 874 x 979 x 407 = 171505136626560
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
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
874 : 1, 2, 19, 23, 38, 46, 437, 874
979 : 1, 11, 89, 979
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,960,874,979,407, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
960:2x 2x 2x 2x 2x 2x 3x 5
874:2x 19x 23
979:11x 89
407:11x 37
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 11x 19 = 1254
Therefore, the value for common factors is 1254.
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 = 171505136626560/(1x1254)
LCM = 171505136626560/1254
LCM = 136766456640
Thus, we can understand that the LCM of 513,960,874,979,407 is 136766456640.
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FAQs on LCM of 513, 960, 874, 979, 407
1. What is the LCM of 513, 960, 874, 979, 407?
Answer: LCM of 513, 960, 874, 979, 407 is 136766456640.
2. How to calculate the LCM of 513, 960, 874, 979, 407?
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, 960, 874, 979, 407.
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}.