LCM of 261, 116, 107, 718, 366
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 261, 116, 107, 718, 366 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 261, 116, 107, 718, 366. So, keep reading to learn more.
Given numbers are 261,116,107,718,366
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,116,107,718,366 is 2446293492.
Find LCM of 261,116,107,718,366 with Prime Factorization
| 2 | 261, 116, 107, 718, 366 |
| 3 | 261, 58, 107, 359, 183 |
| 29 | 87, 58, 107, 359, 61 |
| 3, 2, 107, 359, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 3 x 2 x 107 x 359 x 61 = 2446293492
Therefore, the lowest common multiple of 261,116,107,718,366 is 2446293492.
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.
261 x 116 x 107 x 718 x 366 = 851310135216
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.
261 : 1, 3, 9, 29, 87, 261
116 : 1, 2, 4, 29, 58, 116
107 : 1, 107
718 : 1, 2, 359, 718
366 : 1, 2, 3, 6, 61, 122, 183, 366
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,116,107,718,366, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
116:2x 2x 29
107:107
718:2x 359
366:2x 3x 61
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 3x 29 = 348
Therefore, the value for common factors is 348.
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 = 851310135216/(1x348)
LCM = 851310135216/348
LCM = 2446293492
Thus, we can understand that the LCM of 261,116,107,718,366 is 2446293492.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 261, 116, 107, 718, 366
1. What is the LCM of 261, 116, 107, 718, 366?
Answer: LCM of 261, 116, 107, 718, 366 is 2446293492.
2. How to calculate the LCM of 261, 116, 107, 718, 366?
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 261, 116, 107, 718, 366.
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}.