LCM of 559, 403, 198, 129, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 559, 403, 198, 129, 972 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 559, 403, 198, 129, 972. So, keep reading to learn more.
Given numbers are 559,403,198,129,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,403,198,129,972 is 185281668.
Find LCM of 559,403,198,129,972 with Prime Factorization
| 2 | 559, 403, 198, 129, 972 |
| 3 | 559, 403, 99, 129, 486 |
| 3 | 559, 403, 33, 43, 162 |
| 13 | 559, 403, 11, 43, 54 |
| 43 | 43, 31, 11, 43, 54 |
| 1, 31, 11, 1, 54 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 43 x 1 x 31 x 11 x 1 x 54 = 185281668
Therefore, the lowest common multiple of 559,403,198,129,972 is 185281668.
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.
559 x 403 x 198 x 129 x 972 = 5592912430248
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.
559 : 1, 13, 43, 559
403 : 1, 13, 31, 403
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
129 : 1, 3, 43, 129
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,403,198,129,972, is 1.
Now, the common factors can be found like this.
559:13x 43
403:13x 31
198:2x 3x 3x 11
129:3x 43
972:2x 2x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 13x 43 = 30186
Therefore, the value for common factors is 30186.
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 = 5592912430248/(1x30186)
LCM = 5592912430248/30186
LCM = 185281668
Thus, we can understand that the LCM of 559,403,198,129,972 is 185281668.
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FAQs on LCM of 559, 403, 198, 129, 972
1. What is the LCM of 559, 403, 198, 129, 972?
Answer: LCM of 559, 403, 198, 129, 972 is 185281668.
2. How to calculate the LCM of 559, 403, 198, 129, 972?
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 559, 403, 198, 129, 972.
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}.