LCM of 930, 494, 450, 715, 877
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 494, 450, 715, 877 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 930, 494, 450, 715, 877. So, keep reading to learn more.
Given numbers are 930,494,450,715,877
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,494,450,715,877 is 33240185550.
Find LCM of 930,494,450,715,877 with Prime Factorization
| 2 | 930, 494, 450, 715, 877 |
| 3 | 465, 247, 225, 715, 877 |
| 5 | 155, 247, 75, 715, 877 |
| 13 | 31, 247, 15, 143, 877 |
| 31, 19, 15, 11, 877 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 31 x 19 x 15 x 11 x 877 = 33240185550
Therefore, the lowest common multiple of 930,494,450,715,877 is 33240185550.
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.
930 x 494 x 450 x 715 x 877 = 129636723645000
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
494 : 1, 2, 13, 19, 26, 38, 247, 494
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
715 : 1, 5, 11, 13, 55, 65, 143, 715
877 : 1, 877
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,494,450,715,877, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
494:2x 13x 19
450:2x 3x 3x 5x 5
715:5x 11x 13
877:877
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 3x 5x 5x 13 = 3900
Therefore, the value for common factors is 3900.
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 = 129636723645000/(1x3900)
LCM = 129636723645000/3900
LCM = 33240185550
Thus, we can understand that the LCM of 930,494,450,715,877 is 33240185550.
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FAQs on LCM of 930, 494, 450, 715, 877
1. What is the LCM of 930, 494, 450, 715, 877?
Answer: LCM of 930, 494, 450, 715, 877 is 33240185550.
2. How to calculate the LCM of 930, 494, 450, 715, 877?
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 930, 494, 450, 715, 877.
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}.