LCM of 869, 996, 512, 664, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 996, 512, 664, 962 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 869, 996, 512, 664, 962. So, keep reading to learn more.
Given numbers are 869,996,512,664,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,996,512,664,962 is 53288581632.
Find LCM of 869,996,512,664,962 with Prime Factorization
| 2 | 869, 996, 512, 664, 962 |
| 2 | 869, 498, 256, 332, 481 |
| 2 | 869, 249, 128, 166, 481 |
| 83 | 869, 249, 64, 83, 481 |
| 869, 3, 64, 1, 481 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 83 x 869 x 3 x 64 x 1 x 481 = 53288581632
Therefore, the lowest common multiple of 869,996,512,664,962 is 53288581632.
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.
869 x 996 x 512 x 664 x 962 = 283068945629184
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.
869 : 1, 11, 79, 869
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
664 : 1, 2, 4, 8, 83, 166, 332, 664
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,996,512,664,962, is 1.
Now, the common factors can be found like this.
869:11x 79
996:2x 2x 3x 83
512:2x 2x 2x 2x 2x 2x 2x 2x 2
664:2x 2x 2x 83
962:2x 13x 37
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 2x 2x 2x 83 = 5312
Therefore, the value for common factors is 5312.
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 = 283068945629184/(1x5312)
LCM = 283068945629184/5312
LCM = 53288581632
Thus, we can understand that the LCM of 869,996,512,664,962 is 53288581632.
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FAQs on LCM of 869, 996, 512, 664, 962
1. What is the LCM of 869, 996, 512, 664, 962?
Answer: LCM of 869, 996, 512, 664, 962 is 53288581632.
2. How to calculate the LCM of 869, 996, 512, 664, 962?
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 869, 996, 512, 664, 962.
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}.