LCM of 834, 462, 629, 948, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 462, 629, 948, 923 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 834, 462, 629, 948, 923. So, keep reading to learn more.
Given numbers are 834,462,629,948,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,462,629,948,923 is 5890690553748.
Find LCM of 834,462,629,948,923 with Prime Factorization
| 2 | 834, 462, 629, 948, 923 |
| 3 | 417, 231, 629, 474, 923 |
| 139, 77, 629, 158, 923 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 77 x 629 x 158 x 923 = 5890690553748
Therefore, the lowest common multiple of 834,462,629,948,923 is 5890690553748.
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.
834 x 462 x 629 x 948 x 923 = 212064859934928
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
629 : 1, 17, 37, 629
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,462,629,948,923, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
462:2x 3x 7x 11
629:17x 37
948:2x 2x 3x 79
923:13x 71
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 3 = 36
Therefore, the value for common factors is 36.
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 = 212064859934928/(1x36)
LCM = 212064859934928/36
LCM = 5890690553748
Thus, we can understand that the LCM of 834,462,629,948,923 is 5890690553748.
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FAQs on LCM of 834, 462, 629, 948, 923
1. What is the LCM of 834, 462, 629, 948, 923?
Answer: LCM of 834, 462, 629, 948, 923 is 5890690553748.
2. How to calculate the LCM of 834, 462, 629, 948, 923?
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 834, 462, 629, 948, 923.
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}.