LCM of 308, 594, 449, 591, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 594, 449, 591, 874 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 308, 594, 449, 591, 874. So, keep reading to learn more.
Given numbers are 308,594,449,591,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,594,449,591,874 is 321446339676.
Find LCM of 308,594,449,591,874 with Prime Factorization
| 2 | 308, 594, 449, 591, 874 |
| 3 | 154, 297, 449, 591, 437 |
| 11 | 154, 99, 449, 197, 437 |
| 14, 9, 449, 197, 437 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 14 x 9 x 449 x 197 x 437 = 321446339676
Therefore, the lowest common multiple of 308,594,449,591,874 is 321446339676.
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.
308 x 594 x 449 x 591 x 874 = 42430916837232
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
449 : 1, 449
591 : 1, 3, 197, 591
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,594,449,591,874, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
594:2x 3x 3x 3x 11
449:449
591:3x 197
874:2x 19x 23
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 42430916837232/(1x132)
LCM = 42430916837232/132
LCM = 321446339676
Thus, we can understand that the LCM of 308,594,449,591,874 is 321446339676.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 308, 594, 449, 591, 874
1. What is the LCM of 308, 594, 449, 591, 874?
Answer: LCM of 308, 594, 449, 591, 874 is 321446339676.
2. How to calculate the LCM of 308, 594, 449, 591, 874?
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 308, 594, 449, 591, 874.
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}.