LCM of 924, 286, 477, 256
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 286, 477, 256 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 924, 286, 477, 256. So, keep reading to learn more.
Given numbers are 924,286,477,256
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,286,477,256 is 122234112.
Find LCM of 924,286,477,256 with Prime Factorization
| 2 | 924, 286, 477, 256 |
| 2 | 462, 143, 477, 128 |
| 3 | 231, 143, 477, 64 |
| 11 | 77, 143, 159, 64 |
| 7, 13, 159, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 7 x 13 x 159 x 64 = 122234112
Therefore, the lowest common multiple of 924,286,477,256 is 122234112.
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.
924 x 286 x 477 x 256 = 32269805568
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.
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
286 : 1, 2, 11, 13, 22, 26, 143, 286
477 : 1, 3, 9, 53, 159, 477
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,286,477,256, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
286:2x 11x 13
477:3x 3x 53
256:2x 2x 2x 2x 2x 2x 2x 2
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 32269805568/(1x264)
LCM = 32269805568/264
LCM = 122234112
Thus, we can understand that the LCM of 924,286,477,256 is 122234112.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 924, 286, 477, 256
1. What is the LCM of 924, 286, 477, 256?
Answer: LCM of 924, 286, 477, 256 is 122234112.
2. How to calculate the LCM of 924, 286, 477, 256?
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 924, 286, 477, 256.
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}.