LCM of 966, 990, 858, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 990, 858, 220 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 966, 990, 858, 220. So, keep reading to learn more.
Given numbers are 966,990,858,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,990,858,220 is 4144140.
Find LCM of 966,990,858,220 with Prime Factorization
| 2 | 966, 990, 858, 220 |
| 3 | 483, 495, 429, 110 |
| 5 | 161, 165, 143, 110 |
| 11 | 161, 33, 143, 22 |
| 161, 3, 13, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 161 x 3 x 13 x 2 = 4144140
Therefore, the lowest common multiple of 966,990,858,220 is 4144140.
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.
966 x 990 x 858 x 220 = 180518738400
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.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
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
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,990,858,220, is 2.
Now, the common factors can be found like this.
966:2x 3x 7x 23
990:2x 3x 3x 5x 11
858:2x 3x 11x 13
220:2x 2x 5x 11
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 3x 5x 11x 11 = 21780
Therefore, the value for common factors is 21780.
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 = 180518738400/(2x21780)
LCM = 180518738400/43560
LCM = 4144140
Thus, we can understand that the LCM of 966,990,858,220 is 4144140.
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FAQs on LCM of 966, 990, 858, 220
1. What is the LCM of 966, 990, 858, 220?
Answer: LCM of 966, 990, 858, 220 is 4144140.
2. How to calculate the LCM of 966, 990, 858, 220?
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 966, 990, 858, 220.
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}.