LCM of 888, 492, 444, 459, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 888, 492, 444, 459, 323 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 888, 492, 444, 459, 323. So, keep reading to learn more.
Given numbers are 888,492,444,459,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 888,492,444,459,323 is 105838056.
Find LCM of 888,492,444,459,323 with Prime Factorization
| 2 | 888, 492, 444, 459, 323 |
| 2 | 444, 246, 222, 459, 323 |
| 3 | 111, 123, 222, 459, 323 |
| 17 | 37, 41, 74, 153, 323 |
| 37 | 37, 41, 74, 9, 19 |
| 1, 41, 2, 9, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 37 x 1 x 41 x 2 x 9 x 19 = 105838056
Therefore, the lowest common multiple of 888,492,444,459,323 is 105838056.
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.
888 x 492 x 444 x 459 x 323 = 28759163280768
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.
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
459 : 1, 3, 9, 17, 27, 51, 153, 459
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,492,444,459,323, is 1.
Now, the common factors can be found like this.
888:2x 2x 2x 3x 37
492:2x 2x 3x 41
444:2x 2x 3x 37
459:3x 3x 3x 17
323:17x 19
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 3x 3x 3x 17x 37 = 271728
Therefore, the value for common factors is 271728.
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 = 28759163280768/(1x271728)
LCM = 28759163280768/271728
LCM = 105838056
Thus, we can understand that the LCM of 888,492,444,459,323 is 105838056.
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FAQs on LCM of 888, 492, 444, 459, 323
1. What is the LCM of 888, 492, 444, 459, 323?
Answer: LCM of 888, 492, 444, 459, 323 is 105838056.
2. How to calculate the LCM of 888, 492, 444, 459, 323?
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 888, 492, 444, 459, 323.
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}.