Find the LCM of 304, 288, 409, 120, 906 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, 288, 409, 120, 906. So, keep reading to learn more.
Given numbers are 304,288,409,120,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,288,409,120,906 is 1689726240.
Find LCM of 304,288,409,120,906 with Prime Factorization
2 | 304, 288, 409, 120, 906 |
2 | 152, 144, 409, 60, 453 |
2 | 76, 72, 409, 30, 453 |
2 | 38, 36, 409, 15, 453 |
3 | 19, 18, 409, 15, 453 |
19, 6, 409, 5, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 19 x 6 x 409 x 5 x 151 = 1689726240
Therefore, the lowest common multiple of 304,288,409,120,906 is 1689726240.
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 288 x 409 x 120 x 906 = 3893129256960
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
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
409 : 1, 409
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,288,409,120,906, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
288:2x 2x 2x 2x 2x 3x 3
409:409
120:2x 2x 2x 3x 5
906:2x 3x 151
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 2x 3x 3 = 2304
Therefore, the value for common factors is 2304.
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 = 3893129256960/(1x2304)
LCM = 3893129256960/2304
LCM = 1689726240
Thus, we can understand that the LCM of 304,288,409,120,906 is 1689726240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 304, 288, 409, 120, 906?
Answer: LCM of 304, 288, 409, 120, 906 is 1689726240.
2. How to calculate the LCM of 304, 288, 409, 120, 906?
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, 288, 409, 120, 906.
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}.