LCM of 403, 913, 702, 129
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 913, 702, 129 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 403, 913, 702, 129. So, keep reading to learn more.
Given numbers are 403,913,702,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,913,702,129 is 854354358.
Find LCM of 403,913,702,129 with Prime Factorization
| 3 | 403, 913, 702, 129 |
| 13 | 403, 913, 234, 43 |
| 31, 913, 18, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 31 x 913 x 18 x 43 = 854354358
Therefore, the lowest common multiple of 403,913,702,129 is 854354358.
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.
403 x 913 x 702 x 129 = 33319819962
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.
403 : 1, 13, 31, 403
913 : 1, 11, 83, 913
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,913,702,129, is 1.
Now, the common factors can be found like this.
403:13x 31
913:11x 83
702:2x 3x 3x 3x 13
129:3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 33319819962/(1x39)
LCM = 33319819962/39
LCM = 854354358
Thus, we can understand that the LCM of 403,913,702,129 is 854354358.
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FAQs on LCM of 403, 913, 702, 129
1. What is the LCM of 403, 913, 702, 129?
Answer: LCM of 403, 913, 702, 129 is 854354358.
2. How to calculate the LCM of 403, 913, 702, 129?
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 403, 913, 702, 129.
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}.