LCM of 220, 160, 538, 992, 502
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 160, 538, 992, 502 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 220, 160, 538, 992, 502. So, keep reading to learn more.
Given numbers are 220,160,538,992,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,160,538,992,502 is 3683836640.
Find LCM of 220,160,538,992,502 with Prime Factorization
| 2 | 220, 160, 538, 992, 502 |
| 2 | 110, 80, 269, 496, 251 |
| 2 | 55, 40, 269, 248, 251 |
| 2 | 55, 20, 269, 124, 251 |
| 2 | 55, 10, 269, 62, 251 |
| 5 | 55, 5, 269, 31, 251 |
| 11, 1, 269, 31, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 11 x 1 x 269 x 31 x 251 = 3683836640
Therefore, the lowest common multiple of 220,160,538,992,502 is 3683836640.
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.
220 x 160 x 538 x 992 x 502 = 9430621798400
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
538 : 1, 2, 269, 538
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
502 : 1, 2, 251, 502
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,160,538,992,502, is 2.
Now, the common factors can be found like this.
220:2x 2x 5x 11
160:2x 2x 2x 2x 2x 5
538:2x 269
992:2x 2x 2x 2x 2x 31
502:2x 251
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 5 = 1280
Therefore, the value for common factors is 1280.
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 = 9430621798400/(2x1280)
LCM = 9430621798400/2560
LCM = 3683836640
Thus, we can understand that the LCM of 220,160,538,992,502 is 3683836640.
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FAQs on LCM of 220, 160, 538, 992, 502
1. What is the LCM of 220, 160, 538, 992, 502?
Answer: LCM of 220, 160, 538, 992, 502 is 3683836640.
2. How to calculate the LCM of 220, 160, 538, 992, 502?
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 220, 160, 538, 992, 502.
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}.