LCM of 635, 676, 494, 956, 455
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 676, 494, 956, 455 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 635, 676, 494, 956, 455. So, keep reading to learn more.
Given numbers are 635,676,494,956,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,676,494,956,455 is 13644887620.
Find LCM of 635,676,494,956,455 with Prime Factorization
| 2 | 635, 676, 494, 956, 455 |
| 2 | 635, 338, 247, 478, 455 |
| 5 | 635, 169, 247, 239, 455 |
| 13 | 127, 169, 247, 239, 91 |
| 127, 13, 19, 239, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 127 x 13 x 19 x 239 x 7 = 13644887620
Therefore, the lowest common multiple of 635,676,494,956,455 is 13644887620.
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.
635 x 676 x 494 x 956 x 455 = 92239440311200
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.
635 : 1, 5, 127, 635
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
494 : 1, 2, 13, 19, 26, 38, 247, 494
956 : 1, 2, 4, 239, 478, 956
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,676,494,956,455, is 1.
Now, the common factors can be found like this.
635:5x 127
676:2x 2x 13x 13
494:2x 13x 19
956:2x 2x 239
455:5x 7x 13
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 5x 13x 13 = 6760
Therefore, the value for common factors is 6760.
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 = 92239440311200/(1x6760)
LCM = 92239440311200/6760
LCM = 13644887620
Thus, we can understand that the LCM of 635,676,494,956,455 is 13644887620.
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FAQs on LCM of 635, 676, 494, 956, 455
1. What is the LCM of 635, 676, 494, 956, 455?
Answer: LCM of 635, 676, 494, 956, 455 is 13644887620.
2. How to calculate the LCM of 635, 676, 494, 956, 455?
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 635, 676, 494, 956, 455.
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}.