LCM of 657, 871, 121, 702, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 657, 871, 121, 702, 623 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 657, 871, 121, 702, 623. So, keep reading to learn more.
Given numbers are 657,871,121,702,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,871,121,702,623 is 258826173606.
Find LCM of 657,871,121,702,623 with Prime Factorization
| 3 | 657, 871, 121, 702, 623 |
| 3 | 219, 871, 121, 234, 623 |
| 13 | 73, 871, 121, 78, 623 |
| 73, 67, 121, 6, 623 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 73 x 67 x 121 x 6 x 623 = 258826173606
Therefore, the lowest common multiple of 657,871,121,702,623 is 258826173606.
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.
657 x 871 x 121 x 702 x 623 = 30282662311902
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.
657 : 1, 3, 9, 73, 219, 657
871 : 1, 13, 67, 871
121 : 1, 11, 121
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,871,121,702,623, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
871:13x 67
121:11x 11
702:2x 3x 3x 3x 13
623:7x 89
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 13 = 117
Therefore, the value for common factors is 117.
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 = 30282662311902/(1x117)
LCM = 30282662311902/117
LCM = 258826173606
Thus, we can understand that the LCM of 657,871,121,702,623 is 258826173606.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 657, 871, 121, 702, 623
1. What is the LCM of 657, 871, 121, 702, 623?
Answer: LCM of 657, 871, 121, 702, 623 is 258826173606.
2. How to calculate the LCM of 657, 871, 121, 702, 623?
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 657, 871, 121, 702, 623.
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}.