Find the LCM of 683, 149, 101, 596 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 683, 149, 101, 596. So, keep reading to learn more.
Given numbers are 683,149,101,596
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 683,149,101,596 is 41113868.
Find LCM of 683,149,101,596 with Prime Factorization
149 | 683, 149, 101, 596 |
683, 1, 101, 4 |
Multiply the prime numbers at the bottom and the left side.
149 x 683 x 1 x 101 x 4 = 41113868
Therefore, the lowest common multiple of 683,149,101,596 is 41113868.
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.
683 x 149 x 101 x 596 = 6125966332
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.
683 : 1, 683
149 : 1, 149
101 : 1, 101
596 : 1, 2, 4, 149, 298, 596
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,149,101,596, is 1.
Now, the common factors can be found like this.
683:683
149:149
101:101
596:2x 2x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
149 = 149
Therefore, the value for common factors is 149.
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 = 6125966332/(1x149)
LCM = 6125966332/149
LCM = 41113868
Thus, we can understand that the LCM of 683,149,101,596 is 41113868.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 683, 149, 101, 596?
Answer: LCM of 683, 149, 101, 596 is 41113868.
2. How to calculate the LCM of 683, 149, 101, 596?
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 683, 149, 101, 596.
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}.