LCM of 462, 942, 871, 164, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 942, 871, 164, 861 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 462, 942, 871, 164, 861. So, keep reading to learn more.
Given numbers are 462,942,871,164,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,942,871,164,861 is 5180523348.
Find LCM of 462,942,871,164,861 with Prime Factorization
| 2 | 462, 942, 871, 164, 861 |
| 3 | 231, 471, 871, 82, 861 |
| 7 | 77, 157, 871, 82, 287 |
| 41 | 11, 157, 871, 82, 41 |
| 11, 157, 871, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 41 x 11 x 157 x 871 x 2 x 1 = 5180523348
Therefore, the lowest common multiple of 462,942,871,164,861 is 5180523348.
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.
462 x 942 x 871 x 164 x 861 = 53525167231536
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
942 : 1, 2, 3, 6, 157, 314, 471, 942
871 : 1, 13, 67, 871
164 : 1, 2, 4, 41, 82, 164
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,942,871,164,861, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
942:2x 3x 157
871:13x 67
164:2x 2x 41
861:3x 7x 41
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 3x 3x 7x 41 = 10332
Therefore, the value for common factors is 10332.
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 = 53525167231536/(1x10332)
LCM = 53525167231536/10332
LCM = 5180523348
Thus, we can understand that the LCM of 462,942,871,164,861 is 5180523348.
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FAQs on LCM of 462, 942, 871, 164, 861
1. What is the LCM of 462, 942, 871, 164, 861?
Answer: LCM of 462, 942, 871, 164, 861 is 5180523348.
2. How to calculate the LCM of 462, 942, 871, 164, 861?
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 462, 942, 871, 164, 861.
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}.