LCM of 198, 300, 540, 361, 425
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 300, 540, 361, 425 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 198, 300, 540, 361, 425. So, keep reading to learn more.
Given numbers are 198,300,540,361,425
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,300,540,361,425 is 182268900.
Find LCM of 198,300,540,361,425 with Prime Factorization
| 2 | 198, 300, 540, 361, 425 |
| 2 | 99, 150, 270, 361, 425 |
| 3 | 99, 75, 135, 361, 425 |
| 3 | 33, 25, 45, 361, 425 |
| 5 | 11, 25, 15, 361, 425 |
| 5 | 11, 5, 3, 361, 85 |
| 11, 1, 3, 361, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 5 x 11 x 1 x 3 x 361 x 17 = 182268900
Therefore, the lowest common multiple of 198,300,540,361,425 is 182268900.
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.
198 x 300 x 540 x 361 x 425 = 4921260300000
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
361 : 1, 19, 361
425 : 1, 5, 17, 25, 85, 425
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,300,540,361,425, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
300:2x 2x 3x 5x 5
540:2x 2x 3x 3x 3x 5
361:19x 19
425:5x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 5x 5x 5 = 27000
Therefore, the value for common factors is 27000.
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 = 4921260300000/(1x27000)
LCM = 4921260300000/27000
LCM = 182268900
Thus, we can understand that the LCM of 198,300,540,361,425 is 182268900.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 198, 300, 540, 361, 425
1. What is the LCM of 198, 300, 540, 361, 425?
Answer: LCM of 198, 300, 540, 361, 425 is 182268900.
2. How to calculate the LCM of 198, 300, 540, 361, 425?
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 198, 300, 540, 361, 425.
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}.