LCM of 559, 488, 458, 946, 101
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 559, 488, 458, 946, 101 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, 488, 458, 946, 101. So, keep reading to learn more.
Given numbers are 559,488,458,946,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,488,458,946,101 is 69403467848.
Find LCM of 559,488,458,946,101 with Prime Factorization
| 2 | 559, 488, 458, 946, 101 |
| 43 | 559, 244, 229, 473, 101 |
| 13, 244, 229, 11, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 13 x 244 x 229 x 11 x 101 = 69403467848
Therefore, the lowest common multiple of 559,488,458,946,101 is 69403467848.
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 488 x 458 x 946 x 101 = 11937396469856
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
488 : 1, 2, 4, 8, 61, 122, 244, 488
458 : 1, 2, 229, 458
946 : 1, 2, 11, 22, 43, 86, 473, 946
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,488,458,946,101, is 1.
Now, the common factors can be found like this.
559:13x 43
488:2x 2x 2x 61
458:2x 229
946:2x 11x 43
101:101
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 43 = 172
Therefore, the value for common factors is 172.
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 = 11937396469856/(1x172)
LCM = 11937396469856/172
LCM = 69403467848
Thus, we can understand that the LCM of 559,488,458,946,101 is 69403467848.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 559, 488, 458, 946, 101
1. What is the LCM of 559, 488, 458, 946, 101?
Answer: LCM of 559, 488, 458, 946, 101 is 69403467848.
2. How to calculate the LCM of 559, 488, 458, 946, 101?
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, 488, 458, 946, 101.
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}.