LCM of 913, 387, 136, 498, 755
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 387, 136, 498, 755 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 913, 387, 136, 498, 755. So, keep reading to learn more.
Given numbers are 913,387,136,498,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,387,136,498,755 is 36280027080.
Find LCM of 913,387,136,498,755 with Prime Factorization
| 2 | 913, 387, 136, 498, 755 |
| 3 | 913, 387, 68, 249, 755 |
| 83 | 913, 129, 68, 83, 755 |
| 11, 129, 68, 1, 755 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 83 x 11 x 129 x 68 x 1 x 755 = 36280027080
Therefore, the lowest common multiple of 913,387,136,498,755 is 36280027080.
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.
913 x 387 x 136 x 498 x 755 = 18067453485840
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.
913 : 1, 11, 83, 913
387 : 1, 3, 9, 43, 129, 387
136 : 1, 2, 4, 8, 17, 34, 68, 136
498 : 1, 2, 3, 6, 83, 166, 249, 498
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,387,136,498,755, is 1.
Now, the common factors can be found like this.
913:11x 83
387:3x 3x 43
136:2x 2x 2x 17
498:2x 3x 83
755:5x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 83 = 498
Therefore, the value for common factors is 498.
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 = 18067453485840/(1x498)
LCM = 18067453485840/498
LCM = 36280027080
Thus, we can understand that the LCM of 913,387,136,498,755 is 36280027080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 913, 387, 136, 498, 755
1. What is the LCM of 913, 387, 136, 498, 755?
Answer: LCM of 913, 387, 136, 498, 755 is 36280027080.
2. How to calculate the LCM of 913, 387, 136, 498, 755?
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 913, 387, 136, 498, 755.
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}.