LCM of 598, 337, 869, 449, 474
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 337, 869, 449, 474 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 598, 337, 869, 449, 474. So, keep reading to learn more.
Given numbers are 598,337,869,449,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,337,869,449,474 is 235894848618.
Find LCM of 598,337,869,449,474 with Prime Factorization
| 2 | 598, 337, 869, 449, 474 |
| 79 | 299, 337, 869, 449, 237 |
| 299, 337, 11, 449, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 79 x 299 x 337 x 11 x 449 x 3 = 235894848618
Therefore, the lowest common multiple of 598,337,869,449,474 is 235894848618.
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.
598 x 337 x 869 x 449 x 474 = 37271386081644
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
337 : 1, 337
869 : 1, 11, 79, 869
449 : 1, 449
474 : 1, 2, 3, 6, 79, 158, 237, 474
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,337,869,449,474, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
337:337
869:11x 79
449:449
474:2x 3x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 79 = 158
Therefore, the value for common factors is 158.
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 = 37271386081644/(1x158)
LCM = 37271386081644/158
LCM = 235894848618
Thus, we can understand that the LCM of 598,337,869,449,474 is 235894848618.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 598, 337, 869, 449, 474
1. What is the LCM of 598, 337, 869, 449, 474?
Answer: LCM of 598, 337, 869, 449, 474 is 235894848618.
2. How to calculate the LCM of 598, 337, 869, 449, 474?
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 598, 337, 869, 449, 474.
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}.