LCM of 305, 904, 480, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 904, 480, 892 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, 904, 480, 892. So, keep reading to learn more.
Given numbers are 305,904,480,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,904,480,892 is 737826720.
Find LCM of 305,904,480,892 with Prime Factorization
| 2 | 305, 904, 480, 892 |
| 2 | 305, 452, 240, 446 |
| 2 | 305, 226, 120, 223 |
| 5 | 305, 113, 60, 223 |
| 61, 113, 12, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 61 x 113 x 12 x 223 = 737826720
Therefore, the lowest common multiple of 305,904,480,892 is 737826720.
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 904 x 480 x 892 = 118052275200
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
904 : 1, 2, 4, 8, 113, 226, 452, 904
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,904,480,892, is 1.
Now, the common factors can be found like this.
305:5x 61
904:2x 2x 2x 113
480:2x 2x 2x 2x 2x 3x 5
892:2x 2x 223
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 5 = 160
Therefore, the value for common factors is 160.
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 = 118052275200/(1x160)
LCM = 118052275200/160
LCM = 737826720
Thus, we can understand that the LCM of 305,904,480,892 is 737826720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 305, 904, 480, 892
1. What is the LCM of 305, 904, 480, 892?
Answer: LCM of 305, 904, 480, 892 is 737826720.
2. How to calculate the LCM of 305, 904, 480, 892?
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, 904, 480, 892.
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}.