Find the LCM of 181, 758, 626, 286, 169 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 181, 758, 626, 286, 169. So, keep reading to learn more.
Given numbers are 181,758,626,286,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,758,626,286,169 is 79830988666.
Find LCM of 181,758,626,286,169 with Prime Factorization
2 | 181, 758, 626, 286, 169 |
13 | 181, 379, 313, 143, 169 |
181, 379, 313, 11, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 181 x 379 x 313 x 11 x 13 = 79830988666
Therefore, the lowest common multiple of 181,758,626,286,169 is 79830988666.
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.
181 x 758 x 626 x 286 x 169 = 4151211410632
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.
181 : 1, 181
758 : 1, 2, 379, 758
626 : 1, 2, 313, 626
286 : 1, 2, 11, 13, 22, 26, 143, 286
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,758,626,286,169, is 1.
Now, the common factors can be found like this.
181:181
758:2x 379
626:2x 313
286:2x 11x 13
169:13x 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 13 = 52
Therefore, the value for common factors is 52.
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 = 4151211410632/(1x52)
LCM = 4151211410632/52
LCM = 79830988666
Thus, we can understand that the LCM of 181,758,626,286,169 is 79830988666.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 181, 758, 626, 286, 169?
Answer: LCM of 181, 758, 626, 286, 169 is 79830988666.
2. How to calculate the LCM of 181, 758, 626, 286, 169?
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 181, 758, 626, 286, 169.
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}.