LCM of 852, 587, 284, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 587, 284, 228 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 852, 587, 284, 228. So, keep reading to learn more.
Given numbers are 852,587,284,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,587,284,228 is 9502356.
Find LCM of 852,587,284,228 with Prime Factorization
| 2 | 852, 587, 284, 228 |
| 2 | 426, 587, 142, 114 |
| 3 | 213, 587, 71, 57 |
| 71 | 71, 587, 71, 19 |
| 1, 587, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 71 x 1 x 587 x 1 x 19 = 9502356
Therefore, the lowest common multiple of 852,587,284,228 is 9502356.
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.
852 x 587 x 284 x 228 = 32384029248
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
587 : 1, 587
284 : 1, 2, 4, 71, 142, 284
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,587,284,228, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
587:587
284:2x 2x 71
228:2x 2x 3x 19
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 3x 71 = 3408
Therefore, the value for common factors is 3408.
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 = 32384029248/(1x3408)
LCM = 32384029248/3408
LCM = 9502356
Thus, we can understand that the LCM of 852,587,284,228 is 9502356.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 852, 587, 284, 228
1. What is the LCM of 852, 587, 284, 228?
Answer: LCM of 852, 587, 284, 228 is 9502356.
2. How to calculate the LCM of 852, 587, 284, 228?
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 852, 587, 284, 228.
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}.