LCM of 941, 428, 596
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 941, 428, 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 941, 428, 596. So, keep reading to learn more.
Given numbers are 941,428,596
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 941,428,596 is 60009452.
Find LCM of 941,428,596 with Prime Factorization
| 2 | 941, 428, 596 |
| 2 | 941, 214, 298 |
| 941, 107, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 941 x 107 x 149 = 60009452
Therefore, the lowest common multiple of 941,428,596 is 60009452.
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.
941 x 428 x 596 = 240037808
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.
941 : 1, 941
428 : 1, 2, 4, 107, 214, 428
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 941,428,596, is 1.
Now, the common factors can be found like this.
941:941
428:2x 2x 107
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.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 240037808/(1x4)
LCM = 240037808/4
LCM = 60009452
Thus, we can understand that the LCM of 941,428,596 is 60009452.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 941, 428, 596
1. What is the LCM of 941, 428, 596?
Answer: LCM of 941, 428, 596 is 60009452.
2. How to calculate the LCM of 941, 428, 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 941, 428, 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}.