LCM of 128, 560, 144, 807, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 128, 560, 144, 807, 977 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 128, 560, 144, 807, 977. So, keep reading to learn more.
Given numbers are 128,560,144,807,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,560,144,807,977 is 10596620160.
Find LCM of 128,560,144,807,977 with Prime Factorization
| 2 | 128, 560, 144, 807, 977 |
| 2 | 64, 280, 72, 807, 977 |
| 2 | 32, 140, 36, 807, 977 |
| 2 | 16, 70, 18, 807, 977 |
| 3 | 8, 35, 9, 807, 977 |
| 8, 35, 3, 269, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 8 x 35 x 3 x 269 x 977 = 10596620160
Therefore, the lowest common multiple of 128,560,144,807,977 is 10596620160.
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.
128 x 560 x 144 x 807 x 977 = 8138204282880
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.
128 : 1, 2, 4, 8, 16, 32, 64, 128
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
807 : 1, 3, 269, 807
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,560,144,807,977, is 1.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
560:2x 2x 2x 2x 5x 7
144:2x 2x 2x 2x 3x 3
807:3x 269
977:977
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 3 = 768
Therefore, the value for common factors is 768.
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 = 8138204282880/(1x768)
LCM = 8138204282880/768
LCM = 10596620160
Thus, we can understand that the LCM of 128,560,144,807,977 is 10596620160.
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FAQs on LCM of 128, 560, 144, 807, 977
1. What is the LCM of 128, 560, 144, 807, 977?
Answer: LCM of 128, 560, 144, 807, 977 is 10596620160.
2. How to calculate the LCM of 128, 560, 144, 807, 977?
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 128, 560, 144, 807, 977.
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}.