LCM of 413, 207, 874, 621, 181
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 413, 207, 874, 621, 181 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 413, 207, 874, 621, 181. So, keep reading to learn more.
Given numbers are 413,207,874,621,181
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 413,207,874,621,181 is 1764021294.
Find LCM of 413,207,874,621,181 with Prime Factorization
| 3 | 413, 207, 874, 621, 181 |
| 3 | 413, 69, 874, 207, 181 |
| 23 | 413, 23, 874, 69, 181 |
| 413, 1, 38, 3, 181 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 23 x 413 x 1 x 38 x 3 x 181 = 1764021294
Therefore, the lowest common multiple of 413,207,874,621,181 is 1764021294.
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.
413 x 207 x 874 x 621 x 181 = 8398505380734
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.
413 : 1, 7, 59, 413
207 : 1, 3, 9, 23, 69, 207
874 : 1, 2, 19, 23, 38, 46, 437, 874
621 : 1, 3, 9, 23, 27, 69, 207, 621
181 : 1, 181
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,207,874,621,181, is 1.
Now, the common factors can be found like this.
413:7x 59
207:3x 3x 23
874:2x 19x 23
621:3x 3x 3x 23
181:181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23x 23 = 4761
Therefore, the value for common factors is 4761.
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 = 8398505380734/(1x4761)
LCM = 8398505380734/4761
LCM = 1764021294
Thus, we can understand that the LCM of 413,207,874,621,181 is 1764021294.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 413, 207, 874, 621, 181
1. What is the LCM of 413, 207, 874, 621, 181?
Answer: LCM of 413, 207, 874, 621, 181 is 1764021294.
2. How to calculate the LCM of 413, 207, 874, 621, 181?
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 413, 207, 874, 621, 181.
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}.