LCM of 614, 921, 442, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 921, 442, 986 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 614, 921, 442, 986. So, keep reading to learn more.
Given numbers are 614,921,442,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,921,442,986 is 11805378.
Find LCM of 614,921,442,986 with Prime Factorization
| 2 | 614, 921, 442, 986 |
| 17 | 307, 921, 221, 493 |
| 307 | 307, 921, 13, 29 |
| 1, 3, 13, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 307 x 1 x 3 x 13 x 29 = 11805378
Therefore, the lowest common multiple of 614,921,442,986 is 11805378.
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.
614 x 921 x 442 x 986 = 246449071128
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.
614 : 1, 2, 307, 614
921 : 1, 3, 307, 921
442 : 1, 2, 13, 17, 26, 34, 221, 442
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,921,442,986, is 1.
Now, the common factors can be found like this.
614:2x 307
921:3x 307
442:2x 13x 17
986:2x 17x 29
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 17x 307 = 20876
Therefore, the value for common factors is 20876.
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 = 246449071128/(1x20876)
LCM = 246449071128/20876
LCM = 11805378
Thus, we can understand that the LCM of 614,921,442,986 is 11805378.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 614, 921, 442, 986
1. What is the LCM of 614, 921, 442, 986?
Answer: LCM of 614, 921, 442, 986 is 11805378.
2. How to calculate the LCM of 614, 921, 442, 986?
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 614, 921, 442, 986.
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}.