LCM of 598, 918, 816, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 918, 816, 297 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, 918, 816, 297. So, keep reading to learn more.
Given numbers are 598,918,816,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,918,816,297 is 24154416.
Find LCM of 598,918,816,297 with Prime Factorization
| 2 | 598, 918, 816, 297 |
| 3 | 299, 459, 408, 297 |
| 3 | 299, 153, 136, 99 |
| 3 | 299, 51, 136, 33 |
| 17 | 299, 17, 136, 11 |
| 299, 1, 8, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 299 x 1 x 8 x 11 = 24154416
Therefore, the lowest common multiple of 598,918,816,297 is 24154416.
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 918 x 816 x 297 = 133042523328
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
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,918,816,297, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
918:2x 3x 3x 3x 17
816:2x 2x 2x 2x 3x 17
297:3x 3x 3x 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 2x 3x 3x 3x 3x 17 = 5508
Therefore, the value for common factors is 5508.
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 = 133042523328/(1x5508)
LCM = 133042523328/5508
LCM = 24154416
Thus, we can understand that the LCM of 598,918,816,297 is 24154416.
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FAQs on LCM of 598, 918, 816, 297
1. What is the LCM of 598, 918, 816, 297?
Answer: LCM of 598, 918, 816, 297 is 24154416.
2. How to calculate the LCM of 598, 918, 816, 297?
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, 918, 816, 297.
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}.