LCM of 341, 361, 202, 693, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 361, 202, 693, 405 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 341, 361, 202, 693, 405. So, keep reading to learn more.
Given numbers are 341,361,202,693,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,361,202,693,405 is 70496249670.
Find LCM of 341,361,202,693,405 with Prime Factorization
| 3 | 341, 361, 202, 693, 405 |
| 3 | 341, 361, 202, 231, 135 |
| 11 | 341, 361, 202, 77, 45 |
| 31, 361, 202, 7, 45 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 31 x 361 x 202 x 7 x 45 = 70496249670
Therefore, the lowest common multiple of 341,361,202,693,405 is 70496249670.
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.
341 x 361 x 202 x 693 x 405 = 6979128717330
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.
341 : 1, 11, 31, 341
361 : 1, 19, 361
202 : 1, 2, 101, 202
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,361,202,693,405, is 1.
Now, the common factors can be found like this.
341:11x 31
361:19x 19
202:2x 101
693:3x 3x 7x 11
405:3x 3x 3x 3x 5
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 11 = 99
Therefore, the value for common factors is 99.
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 = 6979128717330/(1x99)
LCM = 6979128717330/99
LCM = 70496249670
Thus, we can understand that the LCM of 341,361,202,693,405 is 70496249670.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 341, 361, 202, 693, 405
1. What is the LCM of 341, 361, 202, 693, 405?
Answer: LCM of 341, 361, 202, 693, 405 is 70496249670.
2. How to calculate the LCM of 341, 361, 202, 693, 405?
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 341, 361, 202, 693, 405.
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}.