LCM of 276, 784, 128, 288, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 784, 128, 288, 906 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 276, 784, 128, 288, 906. So, keep reading to learn more.
Given numbers are 276,784,128,288,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,784,128,288,906 is 196043904.
Find LCM of 276,784,128,288,906 with Prime Factorization
| 2 | 276, 784, 128, 288, 906 |
| 2 | 138, 392, 64, 144, 453 |
| 2 | 69, 196, 32, 72, 453 |
| 2 | 69, 98, 16, 36, 453 |
| 2 | 69, 49, 8, 18, 453 |
| 3 | 69, 49, 4, 9, 453 |
| 23, 49, 4, 3, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 23 x 49 x 4 x 3 x 151 = 196043904
Therefore, the lowest common multiple of 276,784,128,288,906 is 196043904.
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.
276 x 784 x 128 x 288 x 906 = 7226962477056
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
128 : 1, 2, 4, 8, 16, 32, 64, 128
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
906 : 1, 2, 3, 6, 151, 302, 453, 906
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,784,128,288,906, is 2.
Now, the common factors can be found like this.
276:2x 2x 3x 23
784:2x 2x 2x 2x 7x 7
128:2x 2x 2x 2x 2x 2x 2
288:2x 2x 2x 2x 2x 3x 3
906:2x 3x 151
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 2x 2x 2x 2x 2x 2x 3x 3 = 18432
Therefore, the value for common factors is 18432.
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 = 7226962477056/(2x18432)
LCM = 7226962477056/36864
LCM = 196043904
Thus, we can understand that the LCM of 276,784,128,288,906 is 196043904.
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FAQs on LCM of 276, 784, 128, 288, 906
1. What is the LCM of 276, 784, 128, 288, 906?
Answer: LCM of 276, 784, 128, 288, 906 is 196043904.
2. How to calculate the LCM of 276, 784, 128, 288, 906?
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 276, 784, 128, 288, 906.
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}.