LCM of 986, 105, 609, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 105, 609, 261 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, 105, 609, 261. So, keep reading to learn more.
Given numbers are 986,105,609,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,105,609,261 is 310590.
Find LCM of 986,105,609,261 with Prime Factorization
| 3 | 986, 105, 609, 261 |
| 7 | 986, 35, 203, 87 |
| 29 | 986, 5, 29, 87 |
| 34, 5, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 29 x 34 x 5 x 1 x 3 = 310590
Therefore, the lowest common multiple of 986,105,609,261 is 310590.
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 105 x 609 x 261 = 16455989970
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
105 : 1, 3, 5, 7, 15, 21, 35, 105
609 : 1, 3, 7, 21, 29, 87, 203, 609
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,105,609,261, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
105:3x 5x 7
609:3x 7x 29
261:3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 29x 29 = 52983
Therefore, the value for common factors is 52983.
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 = 16455989970/(1x52983)
LCM = 16455989970/52983
LCM = 310590
Thus, we can understand that the LCM of 986,105,609,261 is 310590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 986, 105, 609, 261
1. What is the LCM of 986, 105, 609, 261?
Answer: LCM of 986, 105, 609, 261 is 310590.
2. How to calculate the LCM of 986, 105, 609, 261?
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, 105, 609, 261.
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}.