LCM of 698, 200, 305, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 698, 200, 305, 675 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 698, 200, 305, 675. So, keep reading to learn more.
Given numbers are 698,200,305,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,200,305,675 is 114960600.
Find LCM of 698,200,305,675 with Prime Factorization
| 2 | 698, 200, 305, 675 |
| 5 | 349, 100, 305, 675 |
| 5 | 349, 20, 61, 135 |
| 349, 4, 61, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 349 x 4 x 61 x 27 = 114960600
Therefore, the lowest common multiple of 698,200,305,675 is 114960600.
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.
698 x 200 x 305 x 675 = 28740150000
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.
698 : 1, 2, 349, 698
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
305 : 1, 5, 61, 305
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,200,305,675, is 1.
Now, the common factors can be found like this.
698:2x 349
200:2x 2x 2x 5x 5
305:5x 61
675:3x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5 = 250
Therefore, the value for common factors is 250.
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 = 28740150000/(1x250)
LCM = 28740150000/250
LCM = 114960600
Thus, we can understand that the LCM of 698,200,305,675 is 114960600.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 698, 200, 305, 675
1. What is the LCM of 698, 200, 305, 675?
Answer: LCM of 698, 200, 305, 675 is 114960600.
2. How to calculate the LCM of 698, 200, 305, 675?
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 698, 200, 305, 675.
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}.