LCM of 596, 975, 775, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 975, 775, 745 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 596, 975, 775, 745. So, keep reading to learn more.
Given numbers are 596,975,775,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,975,775,745 is 18014100.
Find LCM of 596,975,775,745 with Prime Factorization
| 5 | 596, 975, 775, 745 |
| 5 | 596, 195, 155, 149 |
| 149 | 596, 39, 31, 149 |
| 4, 39, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 149 x 4 x 39 x 31 x 1 = 18014100
Therefore, the lowest common multiple of 596,975,775,745 is 18014100.
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.
596 x 975 x 775 x 745 = 335512612500
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.
596 : 1, 2, 4, 149, 298, 596
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
775 : 1, 5, 25, 31, 155, 775
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,975,775,745, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
975:3x 5x 5x 13
775:5x 5x 31
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5x 149 = 18625
Therefore, the value for common factors is 18625.
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 = 335512612500/(1x18625)
LCM = 335512612500/18625
LCM = 18014100
Thus, we can understand that the LCM of 596,975,775,745 is 18014100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 596, 975, 775, 745
1. What is the LCM of 596, 975, 775, 745?
Answer: LCM of 596, 975, 775, 745 is 18014100.
2. How to calculate the LCM of 596, 975, 775, 745?
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 596, 975, 775, 745.
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}.