LCM of 160, 420, 415, 754, 271
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 160, 420, 415, 754, 271 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, 420, 415, 754, 271. So, keep reading to learn more.
Given numbers are 160,420,415,754,271
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,420,415,754,271 is 28492332960.
Find LCM of 160,420,415,754,271 with Prime Factorization
| 2 | 160, 420, 415, 754, 271 |
| 2 | 80, 210, 415, 377, 271 |
| 5 | 40, 105, 415, 377, 271 |
| 8, 21, 83, 377, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 8 x 21 x 83 x 377 x 271 = 28492332960
Therefore, the lowest common multiple of 160,420,415,754,271 is 28492332960.
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 420 x 415 x 754 x 271 = 5698466592000
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
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
415 : 1, 5, 83, 415
754 : 1, 2, 13, 26, 29, 58, 377, 754
271 : 1, 271
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,420,415,754,271, is 1.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
420:2x 2x 3x 5x 7
415:5x 83
754:2x 13x 29
271:271
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 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 5698466592000/(1x200)
LCM = 5698466592000/200
LCM = 28492332960
Thus, we can understand that the LCM of 160,420,415,754,271 is 28492332960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 160, 420, 415, 754, 271
1. What is the LCM of 160, 420, 415, 754, 271?
Answer: LCM of 160, 420, 415, 754, 271 is 28492332960.
2. How to calculate the LCM of 160, 420, 415, 754, 271?
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, 420, 415, 754, 271.
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}.