LCM of 304, 422, 896, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 422, 896, 760 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 304, 422, 896, 760. So, keep reading to learn more.
Given numbers are 304,422,896,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,422,896,760 is 17960320.
Find LCM of 304,422,896,760 with Prime Factorization
| 2 | 304, 422, 896, 760 |
| 2 | 152, 211, 448, 380 |
| 2 | 76, 211, 224, 190 |
| 2 | 38, 211, 112, 95 |
| 19 | 19, 211, 56, 95 |
| 1, 211, 56, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 19 x 1 x 211 x 56 x 5 = 17960320
Therefore, the lowest common multiple of 304,422,896,760 is 17960320.
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.
304 x 422 x 896 x 760 = 87358996480
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
422 : 1, 2, 211, 422
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,422,896,760, is 2.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
422:2x 211
896:2x 2x 2x 2x 2x 2x 2x 7
760:2x 2x 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 2x 2x 2x 2x 2x 19 = 2432
Therefore, the value for common factors is 2432.
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 = 87358996480/(2x2432)
LCM = 87358996480/4864
LCM = 17960320
Thus, we can understand that the LCM of 304,422,896,760 is 17960320.
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FAQs on LCM of 304, 422, 896, 760
1. What is the LCM of 304, 422, 896, 760?
Answer: LCM of 304, 422, 896, 760 is 17960320.
2. How to calculate the LCM of 304, 422, 896, 760?
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 304, 422, 896, 760.
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}.