Find the LCM of 811, 155, 231, 689, 494 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 811, 155, 231, 689, 494. So, keep reading to learn more.
Given numbers are 811,155,231,689,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,155,231,689,494 is 760269119610.
Find LCM of 811,155,231,689,494 with Prime Factorization
13 | 811, 155, 231, 689, 494 |
811, 155, 231, 53, 38 |
Multiply the prime numbers at the bottom and the left side.
13 x 811 x 155 x 231 x 53 x 38 = 760269119610
Therefore, the lowest common multiple of 811,155,231,689,494 is 760269119610.
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.
811 x 155 x 231 x 689 x 494 = 9883498554930
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.
811 : 1, 811
155 : 1, 5, 31, 155
231 : 1, 3, 7, 11, 21, 33, 77, 231
689 : 1, 13, 53, 689
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,155,231,689,494, is 1.
Now, the common factors can be found like this.
811:811
155:5x 31
231:3x 7x 11
689:13x 53
494:2x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 9883498554930/(1x13)
LCM = 9883498554930/13
LCM = 760269119610
Thus, we can understand that the LCM of 811,155,231,689,494 is 760269119610.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 811, 155, 231, 689, 494?
Answer: LCM of 811, 155, 231, 689, 494 is 760269119610.
2. How to calculate the LCM of 811, 155, 231, 689, 494?
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 811, 155, 231, 689, 494.
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}.