LCM of 188, 114, 988, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 114, 988, 517 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 188, 114, 988, 517. So, keep reading to learn more.
Given numbers are 188,114,988,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,114,988,517 is 1532388.
Find LCM of 188,114,988,517 with Prime Factorization
| 2 | 188, 114, 988, 517 |
| 2 | 94, 57, 494, 517 |
| 19 | 47, 57, 247, 517 |
| 47 | 47, 3, 13, 517 |
| 1, 3, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 47 x 1 x 3 x 13 x 11 = 1532388
Therefore, the lowest common multiple of 188,114,988,517 is 1532388.
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.
188 x 114 x 988 x 517 = 10947379872
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.
188 : 1, 2, 4, 47, 94, 188
114 : 1, 2, 3, 6, 19, 38, 57, 114
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,114,988,517, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
114:2x 3x 19
988:2x 2x 13x 19
517:11x 47
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 19x 47 = 7144
Therefore, the value for common factors is 7144.
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 = 10947379872/(1x7144)
LCM = 10947379872/7144
LCM = 1532388
Thus, we can understand that the LCM of 188,114,988,517 is 1532388.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 188, 114, 988, 517
1. What is the LCM of 188, 114, 988, 517?
Answer: LCM of 188, 114, 988, 517 is 1532388.
2. How to calculate the LCM of 188, 114, 988, 517?
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 188, 114, 988, 517.
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}.