LCM of 501, 169, 102, 559, 903
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 501, 169, 102, 559, 903 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 501, 169, 102, 559, 903. So, keep reading to learn more.
Given numbers are 501,169,102,559,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,169,102,559,903 is 866502546.
Find LCM of 501,169,102,559,903 with Prime Factorization
| 3 | 501, 169, 102, 559, 903 |
| 13 | 167, 169, 34, 559, 301 |
| 43 | 167, 13, 34, 43, 301 |
| 167, 13, 34, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 43 x 167 x 13 x 34 x 1 x 7 = 866502546
Therefore, the lowest common multiple of 501,169,102,559,903 is 866502546.
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.
501 x 169 x 102 x 559 x 903 = 4359374308926
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.
501 : 1, 3, 167, 501
169 : 1, 13, 169
102 : 1, 2, 3, 6, 17, 34, 51, 102
559 : 1, 13, 43, 559
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,169,102,559,903, is 1.
Now, the common factors can be found like this.
501:3x 167
169:13x 13
102:2x 3x 17
559:13x 43
903:3x 7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 43 = 5031
Therefore, the value for common factors is 5031.
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 = 4359374308926/(1x5031)
LCM = 4359374308926/5031
LCM = 866502546
Thus, we can understand that the LCM of 501,169,102,559,903 is 866502546.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 501, 169, 102, 559, 903
1. What is the LCM of 501, 169, 102, 559, 903?
Answer: LCM of 501, 169, 102, 559, 903 is 866502546.
2. How to calculate the LCM of 501, 169, 102, 559, 903?
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 501, 169, 102, 559, 903.
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}.