LCM of 858, 243, 144, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 243, 144, 312 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 858, 243, 144, 312. So, keep reading to learn more.
Given numbers are 858,243,144,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,243,144,312 is 555984.
Find LCM of 858,243,144,312 with Prime Factorization
| 2 | 858, 243, 144, 312 |
| 2 | 429, 243, 72, 156 |
| 2 | 429, 243, 36, 78 |
| 3 | 429, 243, 18, 39 |
| 3 | 143, 81, 6, 13 |
| 13 | 143, 27, 2, 13 |
| 11, 27, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 11 x 27 x 2 x 1 = 555984
Therefore, the lowest common multiple of 858,243,144,312 is 555984.
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.
858 x 243 x 144 x 312 = 9367218432
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
243 : 1, 3, 9, 27, 81, 243
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,243,144,312, is 3.
Now, the common factors can be found like this.
858:2x 3x 11x 13
243:3x 3x 3x 3x 3
144:2x 2x 2x 2x 3x 3
312:2x 2x 2x 3x 13
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 13 = 5616
Therefore, the value for common factors is 5616.
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 = 9367218432/(3x5616)
LCM = 9367218432/16848
LCM = 555984
Thus, we can understand that the LCM of 858,243,144,312 is 555984.
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FAQs on LCM of 858, 243, 144, 312
1. What is the LCM of 858, 243, 144, 312?
Answer: LCM of 858, 243, 144, 312 is 555984.
2. How to calculate the LCM of 858, 243, 144, 312?
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 858, 243, 144, 312.
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}.