LCM of 871, 221, 824, 724, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 221, 824, 724, 105 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 871, 221, 824, 724, 105. So, keep reading to learn more.
Given numbers are 871,221,824,724,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,221,824,724,105 is 231879396840.
Find LCM of 871,221,824,724,105 with Prime Factorization
| 2 | 871, 221, 824, 724, 105 |
| 2 | 871, 221, 412, 362, 105 |
| 13 | 871, 221, 206, 181, 105 |
| 67, 17, 206, 181, 105 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 67 x 17 x 206 x 181 x 105 = 231879396840
Therefore, the lowest common multiple of 871,221,824,724,105 is 231879396840.
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.
871 x 221 x 824 x 724 x 105 = 12057728635680
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.
871 : 1, 13, 67, 871
221 : 1, 13, 17, 221
824 : 1, 2, 4, 8, 103, 206, 412, 824
724 : 1, 2, 4, 181, 362, 724
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,221,824,724,105, is 1.
Now, the common factors can be found like this.
871:13x 67
221:13x 17
824:2x 2x 2x 103
724:2x 2x 181
105:3x 5x 7
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 13 = 52
Therefore, the value for common factors is 52.
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 = 12057728635680/(1x52)
LCM = 12057728635680/52
LCM = 231879396840
Thus, we can understand that the LCM of 871,221,824,724,105 is 231879396840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 871, 221, 824, 724, 105
1. What is the LCM of 871, 221, 824, 724, 105?
Answer: LCM of 871, 221, 824, 724, 105 is 231879396840.
2. How to calculate the LCM of 871, 221, 824, 724, 105?
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 871, 221, 824, 724, 105.
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}.