LCM of 341, 572, 908, 454, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 572, 908, 454, 505 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, 572, 908, 454, 505. So, keep reading to learn more.
Given numbers are 341,572,908,454,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,572,908,454,505 is 2032707820.
Find LCM of 341,572,908,454,505 with Prime Factorization
| 2 | 341, 572, 908, 454, 505 |
| 2 | 341, 286, 454, 227, 505 |
| 11 | 341, 143, 227, 227, 505 |
| 227 | 31, 13, 227, 227, 505 |
| 31, 13, 1, 1, 505 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 227 x 31 x 13 x 1 x 1 x 505 = 2032707820
Therefore, the lowest common multiple of 341,572,908,454,505 is 2032707820.
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 572 x 908 x 454 x 505 = 40605371412320
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
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
908 : 1, 2, 4, 227, 454, 908
454 : 1, 2, 227, 454
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,572,908,454,505, is 1.
Now, the common factors can be found like this.
341:11x 31
572:2x 2x 11x 13
908:2x 2x 227
454:2x 227
505:5x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 11x 227 = 19976
Therefore, the value for common factors is 19976.
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 = 40605371412320/(1x19976)
LCM = 40605371412320/19976
LCM = 2032707820
Thus, we can understand that the LCM of 341,572,908,454,505 is 2032707820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 341, 572, 908, 454, 505
1. What is the LCM of 341, 572, 908, 454, 505?
Answer: LCM of 341, 572, 908, 454, 505 is 2032707820.
2. How to calculate the LCM of 341, 572, 908, 454, 505?
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, 572, 908, 454, 505.
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}.