LCM of 808, 814, 170, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 814, 170, 374 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 808, 814, 170, 374. So, keep reading to learn more.
Given numbers are 808,814,170,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,814,170,374 is 27952760.
Find LCM of 808,814,170,374 with Prime Factorization
| 2 | 808, 814, 170, 374 |
| 11 | 404, 407, 85, 187 |
| 17 | 404, 37, 85, 17 |
| 404, 37, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 404 x 37 x 5 x 1 = 27952760
Therefore, the lowest common multiple of 808,814,170,374 is 27952760.
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.
808 x 814 x 170 x 374 = 41817328960
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
814 : 1, 2, 11, 22, 37, 74, 407, 814
170 : 1, 2, 5, 10, 17, 34, 85, 170
374 : 1, 2, 11, 17, 22, 34, 187, 374
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,814,170,374, is 2.
Now, the common factors can be found like this.
808:2x 2x 2x 101
814:2x 11x 37
170:2x 5x 17
374:2x 11x 17
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 11x 17 = 748
Therefore, the value for common factors is 748.
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 = 41817328960/(2x748)
LCM = 41817328960/1496
LCM = 27952760
Thus, we can understand that the LCM of 808,814,170,374 is 27952760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 808, 814, 170, 374
1. What is the LCM of 808, 814, 170, 374?
Answer: LCM of 808, 814, 170, 374 is 27952760.
2. How to calculate the LCM of 808, 814, 170, 374?
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 808, 814, 170, 374.
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}.