LCM of 403, 363, 677, 605, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 363, 677, 605, 910 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 403, 363, 677, 605, 910. So, keep reading to learn more.
Given numbers are 403,363,677,605,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,363,677,605,910 is 6932635710.
Find LCM of 403,363,677,605,910 with Prime Factorization
| 5 | 403, 363, 677, 605, 910 |
| 11 | 403, 363, 677, 121, 182 |
| 11 | 403, 33, 677, 11, 182 |
| 13 | 403, 3, 677, 1, 182 |
| 31, 3, 677, 1, 14 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 11 x 13 x 31 x 3 x 677 x 1 x 14 = 6932635710
Therefore, the lowest common multiple of 403,363,677,605,910 is 6932635710.
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.
403 x 363 x 677 x 605 x 910 = 54525179859150
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.
403 : 1, 13, 31, 403
363 : 1, 3, 11, 33, 121, 363
677 : 1, 677
605 : 1, 5, 11, 55, 121, 605
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,363,677,605,910, is 1.
Now, the common factors can be found like this.
403:13x 31
363:3x 11x 11
677:677
605:5x 11x 11
910:2x 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.
5x 11x 11x 13 = 7865
Therefore, the value for common factors is 7865.
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 = 54525179859150/(1x7865)
LCM = 54525179859150/7865
LCM = 6932635710
Thus, we can understand that the LCM of 403,363,677,605,910 is 6932635710.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 403, 363, 677, 605, 910
1. What is the LCM of 403, 363, 677, 605, 910?
Answer: LCM of 403, 363, 677, 605, 910 is 6932635710.
2. How to calculate the LCM of 403, 363, 677, 605, 910?
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 403, 363, 677, 605, 910.
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}.