LCM of 813, 646, 713, 952, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 646, 713, 952, 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 813, 646, 713, 952, 228. So, keep reading to learn more.
Given numbers are 813,646,713,952,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,646,713,952,228 is 10485052872.
Find LCM of 813,646,713,952,228 with Prime Factorization
| 2 | 813, 646, 713, 952, 228 |
| 2 | 813, 323, 713, 476, 114 |
| 3 | 813, 323, 713, 238, 57 |
| 17 | 271, 323, 713, 238, 19 |
| 19 | 271, 19, 713, 14, 19 |
| 271, 1, 713, 14, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 19 x 271 x 1 x 713 x 14 x 1 = 10485052872
Therefore, the lowest common multiple of 813,646,713,952,228 is 10485052872.
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.
813 x 646 x 713 x 952 x 228 = 81280129863744
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.
813 : 1, 3, 271, 813
646 : 1, 2, 17, 19, 34, 38, 323, 646
713 : 1, 23, 31, 713
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
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 813,646,713,952,228, is 1.
Now, the common factors can be found like this.
813:3x 271
646:2x 17x 19
713:23x 31
952:2x 2x 2x 7x 17
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 3x 17x 19 = 7752
Therefore, the value for common factors is 7752.
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 = 81280129863744/(1x7752)
LCM = 81280129863744/7752
LCM = 10485052872
Thus, we can understand that the LCM of 813,646,713,952,228 is 10485052872.
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FAQs on LCM of 813, 646, 713, 952, 228
1. What is the LCM of 813, 646, 713, 952, 228?
Answer: LCM of 813, 646, 713, 952, 228 is 10485052872.
2. How to calculate the LCM of 813, 646, 713, 952, 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 813, 646, 713, 952, 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}.