LCM of 516, 718, 206, 301, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 516, 718, 206, 301, 784 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 516, 718, 206, 301, 784. So, keep reading to learn more.
Given numbers are 516,718,206,301,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 516,718,206,301,784 is 3739705872.
Find LCM of 516,718,206,301,784 with Prime Factorization
| 2 | 516, 718, 206, 301, 784 |
| 2 | 258, 359, 103, 301, 392 |
| 7 | 129, 359, 103, 301, 196 |
| 43 | 129, 359, 103, 43, 28 |
| 3, 359, 103, 1, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 43 x 3 x 359 x 103 x 1 x 28 = 3739705872
Therefore, the lowest common multiple of 516,718,206,301,784 is 3739705872.
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.
516 x 718 x 206 x 301 x 784 = 18010423479552
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.
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
718 : 1, 2, 359, 718
206 : 1, 2, 103, 206
301 : 1, 7, 43, 301
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,718,206,301,784, is 1.
Now, the common factors can be found like this.
516:2x 2x 3x 43
718:2x 359
206:2x 103
301:7x 43
784:2x 2x 2x 2x 7x 7
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 2x 2x 7x 43 = 4816
Therefore, the value for common factors is 4816.
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 = 18010423479552/(1x4816)
LCM = 18010423479552/4816
LCM = 3739705872
Thus, we can understand that the LCM of 516,718,206,301,784 is 3739705872.
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FAQs on LCM of 516, 718, 206, 301, 784
1. What is the LCM of 516, 718, 206, 301, 784?
Answer: LCM of 516, 718, 206, 301, 784 is 3739705872.
2. How to calculate the LCM of 516, 718, 206, 301, 784?
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 516, 718, 206, 301, 784.
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}.