LCM of 898, 234, 331, 858, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 898, 234, 331, 858, 598 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, 234, 331, 858, 598. So, keep reading to learn more.
Given numbers are 898,234,331,858,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,234,331,858,598 is 8798542038.
Find LCM of 898,234,331,858,598 with Prime Factorization
| 2 | 898, 234, 331, 858, 598 |
| 3 | 449, 117, 331, 429, 299 |
| 13 | 449, 39, 331, 143, 299 |
| 449, 3, 331, 11, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 449 x 3 x 331 x 11 x 23 = 8798542038
Therefore, the lowest common multiple of 898,234,331,858,598 is 8798542038.
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 234 x 331 x 858 x 598 = 35686886506128
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
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
331 : 1, 331
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,234,331,858,598, is 1.
Now, the common factors can be found like this.
898:2x 449
234:2x 3x 3x 13
331:331
858:2x 3x 11x 13
598:2x 13x 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 2x 3x 13x 13 = 4056
Therefore, the value for common factors is 4056.
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 = 35686886506128/(1x4056)
LCM = 35686886506128/4056
LCM = 8798542038
Thus, we can understand that the LCM of 898,234,331,858,598 is 8798542038.
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FAQs on LCM of 898, 234, 331, 858, 598
1. What is the LCM of 898, 234, 331, 858, 598?
Answer: LCM of 898, 234, 331, 858, 598 is 8798542038.
2. How to calculate the LCM of 898, 234, 331, 858, 598?
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, 234, 331, 858, 598.
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}.