LCM of 871, 148, 671, 732, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 148, 671, 732, 834 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, 148, 671, 732, 834. So, keep reading to learn more.
Given numbers are 871,148,671,732,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,148,671,732,834 is 36069360756.
Find LCM of 871,148,671,732,834 with Prime Factorization
| 2 | 871, 148, 671, 732, 834 |
| 2 | 871, 74, 671, 366, 417 |
| 3 | 871, 37, 671, 183, 417 |
| 61 | 871, 37, 671, 61, 139 |
| 871, 37, 11, 1, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 871 x 37 x 11 x 1 x 139 = 36069360756
Therefore, the lowest common multiple of 871,148,671,732,834 is 36069360756.
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 148 x 671 x 732 x 834 = 52805544146784
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
148 : 1, 2, 4, 37, 74, 148
671 : 1, 11, 61, 671
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,148,671,732,834, is 1.
Now, the common factors can be found like this.
871:13x 67
148:2x 2x 37
671:11x 61
732:2x 2x 3x 61
834:2x 3x 139
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 2x 3x 61 = 1464
Therefore, the value for common factors is 1464.
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 = 52805544146784/(1x1464)
LCM = 52805544146784/1464
LCM = 36069360756
Thus, we can understand that the LCM of 871,148,671,732,834 is 36069360756.
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FAQs on LCM of 871, 148, 671, 732, 834
1. What is the LCM of 871, 148, 671, 732, 834?
Answer: LCM of 871, 148, 671, 732, 834 is 36069360756.
2. How to calculate the LCM of 871, 148, 671, 732, 834?
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, 148, 671, 732, 834.
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}.