Find the LCM of 926, 104, 719, 104, 464 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 926, 104, 719, 104, 464. So, keep reading to learn more.
Given numbers are 926,104,719,104,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,104,719,104,464 is 2008034704.
Find LCM of 926,104,719,104,464 with Prime Factorization
2 | 926, 104, 719, 104, 464 |
2 | 463, 52, 719, 52, 232 |
2 | 463, 26, 719, 26, 116 |
13 | 463, 13, 719, 13, 58 |
463, 1, 719, 1, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 463 x 1 x 719 x 1 x 58 = 2008034704
Therefore, the lowest common multiple of 926,104,719,104,464 is 2008034704.
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.
926 x 104 x 719 x 104 x 464 = 3341369747456
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.
926 : 1, 2, 463, 926
104 : 1, 2, 4, 8, 13, 26, 52, 104
719 : 1, 719
104 : 1, 2, 4, 8, 13, 26, 52, 104
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,104,719,104,464, is 1.
Now, the common factors can be found like this.
926:2x 463
104:2x 2x 2x 13
719:719
104:2x 2x 2x 13
464:2x 2x 2x 2x 29
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 2x 13 = 1664
Therefore, the value for common factors is 1664.
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 = 3341369747456/(1x1664)
LCM = 3341369747456/1664
LCM = 2008034704
Thus, we can understand that the LCM of 926,104,719,104,464 is 2008034704.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 926, 104, 719, 104, 464?
Answer: LCM of 926, 104, 719, 104, 464 is 2008034704.
2. How to calculate the LCM of 926, 104, 719, 104, 464?
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 926, 104, 719, 104, 464.
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}.