LCM of 266, 646, 990, 110, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 646, 990, 110, 870 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 266, 646, 990, 110, 870. So, keep reading to learn more.
Given numbers are 266,646,990,110,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,646,990,110,870 is 64913310.
Find LCM of 266,646,990,110,870 with Prime Factorization
| 2 | 266, 646, 990, 110, 870 |
| 3 | 133, 323, 495, 55, 435 |
| 5 | 133, 323, 165, 55, 145 |
| 11 | 133, 323, 33, 11, 29 |
| 19 | 133, 323, 3, 1, 29 |
| 7, 17, 3, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 19 x 7 x 17 x 3 x 1 x 29 = 64913310
Therefore, the lowest common multiple of 266,646,990,110,870 is 64913310.
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.
266 x 646 x 990 x 110 x 870 = 16280258148000
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.
266 : 1, 2, 7, 14, 19, 38, 133, 266
646 : 1, 2, 17, 19, 34, 38, 323, 646
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
110 : 1, 2, 5, 10, 11, 22, 55, 110
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,646,990,110,870, is 2.
Now, the common factors can be found like this.
266:2x 7x 19
646:2x 17x 19
990:2x 3x 3x 5x 11
110:2x 5x 11
870:2x 3x 5x 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 2x 3x 5x 5x 11x 19 = 125400
Therefore, the value for common factors is 125400.
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 = 16280258148000/(2x125400)
LCM = 16280258148000/250800
LCM = 64913310
Thus, we can understand that the LCM of 266,646,990,110,870 is 64913310.
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FAQs on LCM of 266, 646, 990, 110, 870
1. What is the LCM of 266, 646, 990, 110, 870?
Answer: LCM of 266, 646, 990, 110, 870 is 64913310.
2. How to calculate the LCM of 266, 646, 990, 110, 870?
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 266, 646, 990, 110, 870.
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}.