LCM of 202, 320, 228, 852, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 202, 320, 228, 852, 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 202, 320, 228, 852, 330. So, keep reading to learn more.
Given numbers are 202,320,228,852,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,320,228,852,330 is 1438789440.
Find LCM of 202,320,228,852,330 with Prime Factorization
| 2 | 202, 320, 228, 852, 330 |
| 2 | 101, 160, 114, 426, 165 |
| 3 | 101, 80, 57, 213, 165 |
| 5 | 101, 80, 19, 71, 55 |
| 101, 16, 19, 71, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 101 x 16 x 19 x 71 x 11 = 1438789440
Therefore, the lowest common multiple of 202,320,228,852,330 is 1438789440.
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.
202 x 320 x 228 x 852 x 330 = 4143713587200
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.
202 : 1, 2, 101, 202
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,320,228,852,330, is 2.
Now, the common factors can be found like this.
202:2x 101
320:2x 2x 2x 2x 2x 2x 5
228:2x 2x 3x 19
852:2x 2x 3x 71
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 2x 2x 2x 3x 3x 5 = 1440
Therefore, the value for common factors is 1440.
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 = 4143713587200/(2x1440)
LCM = 4143713587200/2880
LCM = 1438789440
Thus, we can understand that the LCM of 202,320,228,852,330 is 1438789440.
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FAQs on LCM of 202, 320, 228, 852, 330
1. What is the LCM of 202, 320, 228, 852, 330?
Answer: LCM of 202, 320, 228, 852, 330 is 1438789440.
2. How to calculate the LCM of 202, 320, 228, 852, 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 202, 320, 228, 852, 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}.