LCM of 966, 870, 633, 208, 303
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 870, 633, 208, 303 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, 870, 633, 208, 303. So, keep reading to learn more.
Given numbers are 966,870,633,208,303
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,870,633,208,303 is 310443304080.
Find LCM of 966,870,633,208,303 with Prime Factorization
| 2 | 966, 870, 633, 208, 303 |
| 3 | 483, 435, 633, 104, 303 |
| 161, 145, 211, 104, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 161 x 145 x 211 x 104 x 101 = 310443304080
Therefore, the lowest common multiple of 966,870,633,208,303 is 310443304080.
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 870 x 633 x 208 x 303 = 33527876840640
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
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
633 : 1, 3, 211, 633
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
303 : 1, 3, 101, 303
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,870,633,208,303, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
870:2x 3x 5x 29
633:3x 211
208:2x 2x 2x 2x 13
303:3x 101
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 3 = 108
Therefore, the value for common factors is 108.
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 = 33527876840640/(1x108)
LCM = 33527876840640/108
LCM = 310443304080
Thus, we can understand that the LCM of 966,870,633,208,303 is 310443304080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 966, 870, 633, 208, 303
1. What is the LCM of 966, 870, 633, 208, 303?
Answer: LCM of 966, 870, 633, 208, 303 is 310443304080.
2. How to calculate the LCM of 966, 870, 633, 208, 303?
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, 870, 633, 208, 303.
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}.