LCM of 232, 210, 969, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 210, 969, 330 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 232, 210, 969, 330. So, keep reading to learn more.
Given numbers are 232,210,969,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,210,969,330 is 86551080.
Find LCM of 232,210,969,330 with Prime Factorization
| 2 | 232, 210, 969, 330 |
| 3 | 116, 105, 969, 165 |
| 5 | 116, 35, 323, 55 |
| 116, 7, 323, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 116 x 7 x 323 x 11 = 86551080
Therefore, the lowest common multiple of 232,210,969,330 is 86551080.
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.
232 x 210 x 969 x 330 = 15579194400
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
969 : 1, 3, 17, 19, 51, 57, 323, 969
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,210,969,330, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
210:2x 3x 5x 7
969:3x 17x 19
330:2x 3x 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 5 = 180
Therefore, the value for common factors is 180.
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 = 15579194400/(1x180)
LCM = 15579194400/180
LCM = 86551080
Thus, we can understand that the LCM of 232,210,969,330 is 86551080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 232, 210, 969, 330
1. What is the LCM of 232, 210, 969, 330?
Answer: LCM of 232, 210, 969, 330 is 86551080.
2. How to calculate the LCM of 232, 210, 969, 330?
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 232, 210, 969, 330.
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}.