LCM of 986, 516, 516, 668, 856
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 516, 516, 668, 856 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 986, 516, 516, 668, 856. So, keep reading to learn more.
Given numbers are 986,516,516,668,856
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,516,516,668,856 is 9091318344.
Find LCM of 986,516,516,668,856 with Prime Factorization
| 2 | 986, 516, 516, 668, 856 |
| 2 | 493, 258, 258, 334, 428 |
| 3 | 493, 129, 129, 167, 214 |
| 43 | 493, 43, 43, 167, 214 |
| 493, 1, 1, 167, 214 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 43 x 493 x 1 x 1 x 167 x 214 = 9091318344
Therefore, the lowest common multiple of 986,516,516,668,856 is 9091318344.
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.
986 x 516 x 516 x 668 x 856 = 150115848496128
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
668 : 1, 2, 4, 167, 334, 668
856 : 1, 2, 4, 8, 107, 214, 428, 856
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,516,516,668,856, is 2.
Now, the common factors can be found like this.
986:2x 17x 29
516:2x 2x 3x 43
516:2x 2x 3x 43
668:2x 2x 167
856:2x 2x 2x 107
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 2x 2x 3x 43 = 8256
Therefore, the value for common factors is 8256.
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 = 150115848496128/(2x8256)
LCM = 150115848496128/16512
LCM = 9091318344
Thus, we can understand that the LCM of 986,516,516,668,856 is 9091318344.
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FAQs on LCM of 986, 516, 516, 668, 856
1. What is the LCM of 986, 516, 516, 668, 856?
Answer: LCM of 986, 516, 516, 668, 856 is 9091318344.
2. How to calculate the LCM of 986, 516, 516, 668, 856?
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 986, 516, 516, 668, 856.
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}.