LCM of 874, 941, 667, 204, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 941, 667, 204, 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 874, 941, 667, 204, 986. So, keep reading to learn more.
Given numbers are 874,941,667,204,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,941,667,204,986 is 2432759772.
Find LCM of 874,941,667,204,986 with Prime Factorization
| 2 | 874, 941, 667, 204, 986 |
| 17 | 437, 941, 667, 102, 493 |
| 23 | 437, 941, 667, 6, 29 |
| 29 | 19, 941, 29, 6, 29 |
| 19, 941, 1, 6, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 23 x 29 x 19 x 941 x 1 x 6 x 1 = 2432759772
Therefore, the lowest common multiple of 874,941,667,204,986 is 2432759772.
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.
874 x 941 x 667 x 204 x 986 = 110340252218832
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
941 : 1, 941
667 : 1, 23, 29, 667
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
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 874,941,667,204,986, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
941:941
667:23x 29
204:2x 2x 3x 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 23x 29 = 45356
Therefore, the value for common factors is 45356.
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 = 110340252218832/(1x45356)
LCM = 110340252218832/45356
LCM = 2432759772
Thus, we can understand that the LCM of 874,941,667,204,986 is 2432759772.
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FAQs on LCM of 874, 941, 667, 204, 986
1. What is the LCM of 874, 941, 667, 204, 986?
Answer: LCM of 874, 941, 667, 204, 986 is 2432759772.
2. How to calculate the LCM of 874, 941, 667, 204, 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 874, 941, 667, 204, 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}.