LCM of 838, 403, 228, 651
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 403, 228, 651 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 838, 403, 228, 651. So, keep reading to learn more.
Given numbers are 838,403,228,651
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,403,228,651 is 269495772.
Find LCM of 838,403,228,651 with Prime Factorization
| 2 | 838, 403, 228, 651 |
| 3 | 419, 403, 114, 651 |
| 31 | 419, 403, 38, 217 |
| 419, 13, 38, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 419 x 13 x 38 x 7 = 269495772
Therefore, the lowest common multiple of 838,403,228,651 is 269495772.
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.
838 x 403 x 228 x 651 = 50126213592
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.
838 : 1, 2, 419, 838
403 : 1, 13, 31, 403
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
651 : 1, 3, 7, 21, 31, 93, 217, 651
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,403,228,651, is 1.
Now, the common factors can be found like this.
838:2x 419
403:13x 31
228:2x 2x 3x 19
651:3x 7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 31 = 186
Therefore, the value for common factors is 186.
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 = 50126213592/(1x186)
LCM = 50126213592/186
LCM = 269495772
Thus, we can understand that the LCM of 838,403,228,651 is 269495772.
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FAQs on LCM of 838, 403, 228, 651
1. What is the LCM of 838, 403, 228, 651?
Answer: LCM of 838, 403, 228, 651 is 269495772.
2. How to calculate the LCM of 838, 403, 228, 651?
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 838, 403, 228, 651.
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}.