LCM of 598, 446, 869, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 446, 869, 231 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, 446, 869, 231. So, keep reading to learn more.
Given numbers are 598,446,869,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,446,869,231 is 2433577146.
Find LCM of 598,446,869,231 with Prime Factorization
| 2 | 598, 446, 869, 231 |
| 11 | 299, 223, 869, 231 |
| 299, 223, 79, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 299 x 223 x 79 x 21 = 2433577146
Therefore, the lowest common multiple of 598,446,869,231 is 2433577146.
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 446 x 869 x 231 = 53538697212
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
446 : 1, 2, 223, 446
869 : 1, 11, 79, 869
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,446,869,231, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
446:2x 223
869:11x 79
231:3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 53538697212/(1x22)
LCM = 53538697212/22
LCM = 2433577146
Thus, we can understand that the LCM of 598,446,869,231 is 2433577146.
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FAQs on LCM of 598, 446, 869, 231
1. What is the LCM of 598, 446, 869, 231?
Answer: LCM of 598, 446, 869, 231 is 2433577146.
2. How to calculate the LCM of 598, 446, 869, 231?
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, 446, 869, 231.
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}.