LCM of 177, 391, 667, 826, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 177, 391, 667, 826, 904 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 177, 391, 667, 826, 904. So, keep reading to learn more.
Given numbers are 177,391,667,826,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 177,391,667,826,904 is 12700314984.
Find LCM of 177,391,667,826,904 with Prime Factorization
| 2 | 177, 391, 667, 826, 904 |
| 23 | 177, 391, 667, 413, 452 |
| 59 | 177, 17, 29, 413, 452 |
| 3, 17, 29, 7, 452 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 59 x 3 x 17 x 29 x 7 x 452 = 12700314984
Therefore, the lowest common multiple of 177,391,667,826,904 is 12700314984.
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.
177 x 391 x 667 x 826 x 904 = 34468654866576
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.
177 : 1, 3, 59, 177
391 : 1, 17, 23, 391
667 : 1, 23, 29, 667
826 : 1, 2, 7, 14, 59, 118, 413, 826
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,391,667,826,904, is 1.
Now, the common factors can be found like this.
177:3x 59
391:17x 23
667:23x 29
826:2x 7x 59
904:2x 2x 2x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 59 = 2714
Therefore, the value for common factors is 2714.
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 = 34468654866576/(1x2714)
LCM = 34468654866576/2714
LCM = 12700314984
Thus, we can understand that the LCM of 177,391,667,826,904 is 12700314984.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 177, 391, 667, 826, 904
1. What is the LCM of 177, 391, 667, 826, 904?
Answer: LCM of 177, 391, 667, 826, 904 is 12700314984.
2. How to calculate the LCM of 177, 391, 667, 826, 904?
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 177, 391, 667, 826, 904.
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}.