LCM of 896, 856, 483, 306, 133
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 856, 483, 306, 133 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 896, 856, 483, 306, 133. So, keep reading to learn more.
Given numbers are 896,856,483,306,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,856,483,306,133 is 6410097792.
Find LCM of 896,856,483,306,133 with Prime Factorization
| 2 | 896, 856, 483, 306, 133 |
| 2 | 448, 428, 483, 153, 133 |
| 2 | 224, 214, 483, 153, 133 |
| 3 | 112, 107, 483, 153, 133 |
| 7 | 112, 107, 161, 51, 133 |
| 16, 107, 23, 51, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 16 x 107 x 23 x 51 x 19 = 6410097792
Therefore, the lowest common multiple of 896,856,483,306,133 is 6410097792.
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.
896 x 856 x 483 x 306 x 133 = 15076550006784
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
856 : 1, 2, 4, 8, 107, 214, 428, 856
483 : 1, 3, 7, 21, 23, 69, 161, 483
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,856,483,306,133, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
856:2x 2x 2x 107
483:3x 7x 23
306:2x 3x 3x 17
133:7x 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 7x 7 = 2352
Therefore, the value for common factors is 2352.
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 = 15076550006784/(1x2352)
LCM = 15076550006784/2352
LCM = 6410097792
Thus, we can understand that the LCM of 896,856,483,306,133 is 6410097792.
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FAQs on LCM of 896, 856, 483, 306, 133
1. What is the LCM of 896, 856, 483, 306, 133?
Answer: LCM of 896, 856, 483, 306, 133 is 6410097792.
2. How to calculate the LCM of 896, 856, 483, 306, 133?
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 896, 856, 483, 306, 133.
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}.