LCM of 743, 913, 869, 442, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 743, 913, 869, 442, 198 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 743, 913, 869, 442, 198. So, keep reading to learn more.
Given numbers are 743,913,869,442,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 743,913,869,442,198 is 213182456058.
Find LCM of 743,913,869,442,198 with Prime Factorization
| 2 | 743, 913, 869, 442, 198 |
| 11 | 743, 913, 869, 221, 99 |
| 743, 83, 79, 221, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 743 x 83 x 79 x 221 x 9 = 213182456058
Therefore, the lowest common multiple of 743,913,869,442,198 is 213182456058.
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.
743 x 913 x 869 x 442 x 198 = 51590154366036
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.
743 : 1, 743
913 : 1, 11, 83, 913
869 : 1, 11, 79, 869
442 : 1, 2, 13, 17, 26, 34, 221, 442
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,913,869,442,198, is 1.
Now, the common factors can be found like this.
743:743
913:11x 83
869:11x 79
442:2x 13x 17
198:2x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 51590154366036/(1x242)
LCM = 51590154366036/242
LCM = 213182456058
Thus, we can understand that the LCM of 743,913,869,442,198 is 213182456058.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 743, 913, 869, 442, 198
1. What is the LCM of 743, 913, 869, 442, 198?
Answer: LCM of 743, 913, 869, 442, 198 is 213182456058.
2. How to calculate the LCM of 743, 913, 869, 442, 198?
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 743, 913, 869, 442, 198.
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}.