LCM of 322, 323, 598, 854, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 323, 598, 854, 560 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 322, 323, 598, 854, 560. So, keep reading to learn more.
Given numbers are 322,323,598,854,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,323,598,854,560 is 3299070320.
Find LCM of 322,323,598,854,560 with Prime Factorization
| 2 | 322, 323, 598, 854, 560 |
| 7 | 161, 323, 299, 427, 280 |
| 23 | 23, 323, 299, 61, 40 |
| 1, 323, 13, 61, 40 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 1 x 323 x 13 x 61 x 40 = 3299070320
Therefore, the lowest common multiple of 322,323,598,854,560 is 3299070320.
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.
322 x 323 x 598 x 854 x 560 = 29744418005120
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
323 : 1, 17, 19, 323
598 : 1, 2, 13, 23, 26, 46, 299, 598
854 : 1, 2, 7, 14, 61, 122, 427, 854
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,323,598,854,560, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
323:17x 19
598:2x 13x 23
854:2x 7x 61
560:2x 2x 2x 2x 5x 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 7x 7x 23 = 9016
Therefore, the value for common factors is 9016.
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 = 29744418005120/(1x9016)
LCM = 29744418005120/9016
LCM = 3299070320
Thus, we can understand that the LCM of 322,323,598,854,560 is 3299070320.
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FAQs on LCM of 322, 323, 598, 854, 560
1. What is the LCM of 322, 323, 598, 854, 560?
Answer: LCM of 322, 323, 598, 854, 560 is 3299070320.
2. How to calculate the LCM of 322, 323, 598, 854, 560?
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 322, 323, 598, 854, 560.
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}.