LCM of 160, 813, 190, 176, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 160, 813, 190, 176, 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 160, 813, 190, 176, 977. So, keep reading to learn more.
Given numbers are 160,813,190,176,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,813,190,176,977 is 26561425440.
Find LCM of 160,813,190,176,977 with Prime Factorization
| 2 | 160, 813, 190, 176, 977 |
| 2 | 80, 813, 95, 88, 977 |
| 2 | 40, 813, 95, 44, 977 |
| 2 | 20, 813, 95, 22, 977 |
| 5 | 10, 813, 95, 11, 977 |
| 2, 813, 19, 11, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 2 x 813 x 19 x 11 x 977 = 26561425440
Therefore, the lowest common multiple of 160,813,190,176,977 is 26561425440.
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.
160 x 813 x 190 x 176 x 977 = 4249828070400
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.
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
813 : 1, 3, 271, 813
190 : 1, 2, 5, 10, 19, 38, 95, 190
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,813,190,176,977, is 1.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
813:3x 271
190:2x 5x 19
176:2x 2x 2x 2x 11
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 5 = 160
Therefore, the value for common factors is 160.
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 = 4249828070400/(1x160)
LCM = 4249828070400/160
LCM = 26561425440
Thus, we can understand that the LCM of 160,813,190,176,977 is 26561425440.
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FAQs on LCM of 160, 813, 190, 176, 977
1. What is the LCM of 160, 813, 190, 176, 977?
Answer: LCM of 160, 813, 190, 176, 977 is 26561425440.
2. How to calculate the LCM of 160, 813, 190, 176, 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 160, 813, 190, 176, 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}.