LCM of 599, 596, 689, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 596, 689, 438 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 599, 596, 689, 438. So, keep reading to learn more.
Given numbers are 599,596,689,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,596,689,438 is 53868690564.
Find LCM of 599,596,689,438 with Prime Factorization
| 2 | 599, 596, 689, 438 |
| 599, 298, 689, 219 |
Multiply the prime numbers at the bottom and the left side.
2 x 599 x 298 x 689 x 219 = 53868690564
Therefore, the lowest common multiple of 599,596,689,438 is 53868690564.
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.
599 x 596 x 689 x 438 = 107737381128
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.
599 : 1, 599
596 : 1, 2, 4, 149, 298, 596
689 : 1, 13, 53, 689
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,596,689,438, is 1.
Now, the common factors can be found like this.
599:599
596:2x 2x 149
689:13x 53
438:2x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 107737381128/(1x2)
LCM = 107737381128/2
LCM = 53868690564
Thus, we can understand that the LCM of 599,596,689,438 is 53868690564.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 599, 596, 689, 438
1. What is the LCM of 599, 596, 689, 438?
Answer: LCM of 599, 596, 689, 438 is 53868690564.
2. How to calculate the LCM of 599, 596, 689, 438?
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 599, 596, 689, 438.
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}.