LCM of 454, 759, 899, 661, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 454, 759, 899, 661, 341 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 454, 759, 899, 661, 341. So, keep reading to learn more.
Given numbers are 454,759,899,661,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,759,899,661,341 is 204766440054.
Find LCM of 454,759,899,661,341 with Prime Factorization
| 11 | 454, 759, 899, 661, 341 |
| 31 | 454, 69, 899, 661, 31 |
| 454, 69, 29, 661, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 31 x 454 x 69 x 29 x 661 x 1 = 204766440054
Therefore, the lowest common multiple of 454,759,899,661,341 is 204766440054.
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.
454 x 759 x 899 x 661 x 341 = 69825356058414
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.
454 : 1, 2, 227, 454
759 : 1, 3, 11, 23, 33, 69, 253, 759
899 : 1, 29, 31, 899
661 : 1, 661
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,759,899,661,341, is 1.
Now, the common factors can be found like this.
454:2x 227
759:3x 11x 23
899:29x 31
661:661
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 31 = 341
Therefore, the value for common factors is 341.
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 = 69825356058414/(1x341)
LCM = 69825356058414/341
LCM = 204766440054
Thus, we can understand that the LCM of 454,759,899,661,341 is 204766440054.
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FAQs on LCM of 454, 759, 899, 661, 341
1. What is the LCM of 454, 759, 899, 661, 341?
Answer: LCM of 454, 759, 899, 661, 341 is 204766440054.
2. How to calculate the LCM of 454, 759, 899, 661, 341?
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 454, 759, 899, 661, 341.
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}.