LCM of 682, 167, 494, 668, 775
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 167, 494, 668, 775 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 682, 167, 494, 668, 775. So, keep reading to learn more.
Given numbers are 682,167,494,668,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,167,494,668,775 is 1406590900.
Find LCM of 682,167,494,668,775 with Prime Factorization
| 2 | 682, 167, 494, 668, 775 |
| 31 | 341, 167, 247, 334, 775 |
| 167 | 11, 167, 247, 334, 25 |
| 11, 1, 247, 2, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 167 x 11 x 1 x 247 x 2 x 25 = 1406590900
Therefore, the lowest common multiple of 682,167,494,668,775 is 1406590900.
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.
682 x 167 x 494 x 668 x 775 = 29127684357200
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
167 : 1, 167
494 : 1, 2, 13, 19, 26, 38, 247, 494
668 : 1, 2, 4, 167, 334, 668
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,167,494,668,775, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
167:167
494:2x 13x 19
668:2x 2x 167
775:5x 5x 31
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 31x 167 = 20708
Therefore, the value for common factors is 20708.
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 = 29127684357200/(1x20708)
LCM = 29127684357200/20708
LCM = 1406590900
Thus, we can understand that the LCM of 682,167,494,668,775 is 1406590900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 682, 167, 494, 668, 775
1. What is the LCM of 682, 167, 494, 668, 775?
Answer: LCM of 682, 167, 494, 668, 775 is 1406590900.
2. How to calculate the LCM of 682, 167, 494, 668, 775?
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 682, 167, 494, 668, 775.
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}.