LCM of 919, 309, 304, 320
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 919, 309, 304, 320 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 919, 309, 304, 320. So, keep reading to learn more.
Given numbers are 919,309,304,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,309,304,320 is 1726543680.
Find LCM of 919,309,304,320 with Prime Factorization
| 2 | 919, 309, 304, 320 |
| 2 | 919, 309, 152, 160 |
| 2 | 919, 309, 76, 80 |
| 2 | 919, 309, 38, 40 |
| 919, 309, 19, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 919 x 309 x 19 x 20 = 1726543680
Therefore, the lowest common multiple of 919,309,304,320 is 1726543680.
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.
919 x 309 x 304 x 320 = 27624698880
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.
919 : 1, 919
309 : 1, 3, 103, 309
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,309,304,320, is 1.
Now, the common factors can be found like this.
919:919
309:3x 103
304:2x 2x 2x 2x 19
320:2x 2x 2x 2x 2x 2x 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 2x 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 27624698880/(1x16)
LCM = 27624698880/16
LCM = 1726543680
Thus, we can understand that the LCM of 919,309,304,320 is 1726543680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 919, 309, 304, 320
1. What is the LCM of 919, 309, 304, 320?
Answer: LCM of 919, 309, 304, 320 is 1726543680.
2. How to calculate the LCM of 919, 309, 304, 320?
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 919, 309, 304, 320.
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}.