LCM of 952, 513, 903, 321, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 952, 513, 903, 321, 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 952, 513, 903, 321, 228. So, keep reading to learn more.
Given numbers are 952,513,903,321,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,513,903,321,228 is 2247017976.
Find LCM of 952,513,903,321,228 with Prime Factorization
| 2 | 952, 513, 903, 321, 228 |
| 2 | 476, 513, 903, 321, 114 |
| 3 | 238, 513, 903, 321, 57 |
| 7 | 238, 171, 301, 107, 19 |
| 19 | 34, 171, 43, 107, 19 |
| 34, 9, 43, 107, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 34 x 9 x 43 x 107 x 1 = 2247017976
Therefore, the lowest common multiple of 952,513,903,321,228 is 2247017976.
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.
952 x 513 x 903 x 321 x 228 = 32276166207264
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
513 : 1, 3, 9, 19, 27, 57, 171, 513
903 : 1, 3, 7, 21, 43, 129, 301, 903
321 : 1, 3, 107, 321
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 952,513,903,321,228, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
513:3x 3x 3x 19
903:3x 7x 43
321:3x 107
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 3x 3x 3x 7x 19 = 14364
Therefore, the value for common factors is 14364.
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 = 32276166207264/(1x14364)
LCM = 32276166207264/14364
LCM = 2247017976
Thus, we can understand that the LCM of 952,513,903,321,228 is 2247017976.
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FAQs on LCM of 952, 513, 903, 321, 228
1. What is the LCM of 952, 513, 903, 321, 228?
Answer: LCM of 952, 513, 903, 321, 228 is 2247017976.
2. How to calculate the LCM of 952, 513, 903, 321, 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 952, 513, 903, 321, 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}.