LCM of 305, 288, 698, 190
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 288, 698, 190 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 305, 288, 698, 190. So, keep reading to learn more.
Given numbers are 305,288,698,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,288,698,190 is 582467040.
Find LCM of 305,288,698,190 with Prime Factorization
| 2 | 305, 288, 698, 190 |
| 5 | 305, 144, 349, 95 |
| 61, 144, 349, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 61 x 144 x 349 x 19 = 582467040
Therefore, the lowest common multiple of 305,288,698,190 is 582467040.
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.
305 x 288 x 698 x 190 = 11649340800
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.
305 : 1, 5, 61, 305
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
698 : 1, 2, 349, 698
190 : 1, 2, 5, 10, 19, 38, 95, 190
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,288,698,190, is 1.
Now, the common factors can be found like this.
305:5x 61
288:2x 2x 2x 2x 2x 3x 3
698:2x 349
190:2x 5x 19
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 5 = 20
Therefore, the value for common factors is 20.
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 = 11649340800/(1x20)
LCM = 11649340800/20
LCM = 582467040
Thus, we can understand that the LCM of 305,288,698,190 is 582467040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 305, 288, 698, 190
1. What is the LCM of 305, 288, 698, 190?
Answer: LCM of 305, 288, 698, 190 is 582467040.
2. How to calculate the LCM of 305, 288, 698, 190?
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 305, 288, 698, 190.
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}.