LCM of 305, 180, 780, 190, 226
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 180, 780, 190, 226 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, 180, 780, 190, 226. So, keep reading to learn more.
Given numbers are 305,180,780,190,226
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,180,780,190,226 is 306462780.
Find LCM of 305,180,780,190,226 with Prime Factorization
| 2 | 305, 180, 780, 190, 226 |
| 2 | 305, 90, 390, 95, 113 |
| 3 | 305, 45, 195, 95, 113 |
| 5 | 305, 15, 65, 95, 113 |
| 61, 3, 13, 19, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 61 x 3 x 13 x 19 x 113 = 306462780
Therefore, the lowest common multiple of 305,180,780,190,226 is 306462780.
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 180 x 780 x 190 x 226 = 1838776680000
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
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
190 : 1, 2, 5, 10, 19, 38, 95, 190
226 : 1, 2, 113, 226
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,180,780,190,226, is 1.
Now, the common factors can be found like this.
305:5x 61
180:2x 2x 3x 3x 5
780:2x 2x 3x 5x 13
190:2x 5x 19
226:2x 113
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 2x 3x 5x 5x 5 = 6000
Therefore, the value for common factors is 6000.
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 = 1838776680000/(1x6000)
LCM = 1838776680000/6000
LCM = 306462780
Thus, we can understand that the LCM of 305,180,780,190,226 is 306462780.
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FAQs on LCM of 305, 180, 780, 190, 226
1. What is the LCM of 305, 180, 780, 190, 226?
Answer: LCM of 305, 180, 780, 190, 226 is 306462780.
2. How to calculate the LCM of 305, 180, 780, 190, 226?
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, 180, 780, 190, 226.
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}.