Find the LCM of 834, 417, 700, 104 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, 417, 700, 104. So, keep reading to learn more.
Given numbers are 834,417,700,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,417,700,104 is 7589400.
Find LCM of 834,417,700,104 with Prime Factorization
2 | 834, 417, 700, 104 |
2 | 417, 417, 350, 52 |
3 | 417, 417, 175, 26 |
139 | 139, 139, 175, 26 |
1, 1, 175, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 139 x 1 x 1 x 175 x 26 = 7589400
Therefore, the lowest common multiple of 834,417,700,104 is 7589400.
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 417 x 700 x 104 = 25318238400
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
417 : 1, 3, 139, 417
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,417,700,104, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
417:3x 139
700:2x 2x 5x 5x 7
104:2x 2x 2x 13
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 139 = 3336
Therefore, the value for common factors is 3336.
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 = 25318238400/(1x3336)
LCM = 25318238400/3336
LCM = 7589400
Thus, we can understand that the LCM of 834,417,700,104 is 7589400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 834, 417, 700, 104?
Answer: LCM of 834, 417, 700, 104 is 7589400.
2. How to calculate the LCM of 834, 417, 700, 104?
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, 417, 700, 104.
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}.