LCM of 898, 435, 604, 249
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 898, 435, 604, 249 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 898, 435, 604, 249. So, keep reading to learn more.
Given numbers are 898,435,604,249
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,435,604,249 is 9791531580.
Find LCM of 898,435,604,249 with Prime Factorization
| 2 | 898, 435, 604, 249 |
| 3 | 449, 435, 302, 249 |
| 449, 145, 302, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 449 x 145 x 302 x 83 = 9791531580
Therefore, the lowest common multiple of 898,435,604,249 is 9791531580.
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.
898 x 435 x 604 x 249 = 58749189480
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.
898 : 1, 2, 449, 898
435 : 1, 3, 5, 15, 29, 87, 145, 435
604 : 1, 2, 4, 151, 302, 604
249 : 1, 3, 83, 249
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,435,604,249, is 1.
Now, the common factors can be found like this.
898:2x 449
435:3x 5x 29
604:2x 2x 151
249:3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 58749189480/(1x6)
LCM = 58749189480/6
LCM = 9791531580
Thus, we can understand that the LCM of 898,435,604,249 is 9791531580.
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FAQs on LCM of 898, 435, 604, 249
1. What is the LCM of 898, 435, 604, 249?
Answer: LCM of 898, 435, 604, 249 is 9791531580.
2. How to calculate the LCM of 898, 435, 604, 249?
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 898, 435, 604, 249.
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}.