LCM of 160, 104, 169, 417, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 160, 104, 169, 417, 506 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, 104, 169, 417, 506. So, keep reading to learn more.
Given numbers are 160,104,169,417,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,104,169,417,506 is 2852747040.
Find LCM of 160,104,169,417,506 with Prime Factorization
| 2 | 160, 104, 169, 417, 506 |
| 2 | 80, 52, 169, 417, 253 |
| 2 | 40, 26, 169, 417, 253 |
| 13 | 20, 13, 169, 417, 253 |
| 20, 1, 13, 417, 253 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 20 x 1 x 13 x 417 x 253 = 2852747040
Therefore, the lowest common multiple of 160,104,169,417,506 is 2852747040.
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 104 x 169 x 417 x 506 = 593371384320
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
104 : 1, 2, 4, 8, 13, 26, 52, 104
169 : 1, 13, 169
417 : 1, 3, 139, 417
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,104,169,417,506, is 1.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
104:2x 2x 2x 13
169:13x 13
417:3x 139
506:2x 11x 23
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 13 = 208
Therefore, the value for common factors is 208.
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 = 593371384320/(1x208)
LCM = 593371384320/208
LCM = 2852747040
Thus, we can understand that the LCM of 160,104,169,417,506 is 2852747040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 160, 104, 169, 417, 506
1. What is the LCM of 160, 104, 169, 417, 506?
Answer: LCM of 160, 104, 169, 417, 506 is 2852747040.
2. How to calculate the LCM of 160, 104, 169, 417, 506?
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, 104, 169, 417, 506.
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}.