LCM of 682, 351, 224, 598, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 351, 224, 598, 168 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 682, 351, 224, 598, 168. So, keep reading to learn more.
Given numbers are 682,351,224,598,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,351,224,598,168 is 616648032.
Find LCM of 682,351,224,598,168 with Prime Factorization
| 2 | 682, 351, 224, 598, 168 |
| 2 | 341, 351, 112, 299, 84 |
| 2 | 341, 351, 56, 299, 42 |
| 3 | 341, 351, 28, 299, 21 |
| 7 | 341, 117, 28, 299, 7 |
| 13 | 341, 117, 4, 299, 1 |
| 341, 9, 4, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 341 x 9 x 4 x 23 x 1 = 616648032
Therefore, the lowest common multiple of 682,351,224,598,168 is 616648032.
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.
682 x 351 x 224 x 598 x 168 = 5387037207552
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
351 : 1, 3, 9, 13, 27, 39, 117, 351
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
598 : 1, 2, 13, 23, 26, 46, 299, 598
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,351,224,598,168, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
351:3x 3x 3x 13
224:2x 2x 2x 2x 2x 7
598:2x 13x 23
168:2x 2x 2x 3x 7
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 2x 2x 3x 7x 13 = 8736
Therefore, the value for common factors is 8736.
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 = 5387037207552/(1x8736)
LCM = 5387037207552/8736
LCM = 616648032
Thus, we can understand that the LCM of 682,351,224,598,168 is 616648032.
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FAQs on LCM of 682, 351, 224, 598, 168
1. What is the LCM of 682, 351, 224, 598, 168?
Answer: LCM of 682, 351, 224, 598, 168 is 616648032.
2. How to calculate the LCM of 682, 351, 224, 598, 168?
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 682, 351, 224, 598, 168.
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}.