LCM of 303, 904, 945, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 904, 945, 975 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 303, 904, 945, 975. So, keep reading to learn more.
Given numbers are 303,904,945,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,904,945,975 is 5608348200.
Find LCM of 303,904,945,975 with Prime Factorization
| 3 | 303, 904, 945, 975 |
| 5 | 101, 904, 315, 325 |
| 101, 904, 63, 65 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 101 x 904 x 63 x 65 = 5608348200
Therefore, the lowest common multiple of 303,904,945,975 is 5608348200.
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.
303 x 904 x 945 x 975 = 252375669000
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.
303 : 1, 3, 101, 303
904 : 1, 2, 4, 8, 113, 226, 452, 904
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,904,945,975, is 1.
Now, the common factors can be found like this.
303:3x 101
904:2x 2x 2x 113
945:3x 3x 3x 5x 7
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 252375669000/(1x45)
LCM = 252375669000/45
LCM = 5608348200
Thus, we can understand that the LCM of 303,904,945,975 is 5608348200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 303, 904, 945, 975
1. What is the LCM of 303, 904, 945, 975?
Answer: LCM of 303, 904, 945, 975 is 5608348200.
2. How to calculate the LCM of 303, 904, 945, 975?
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 303, 904, 945, 975.
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}.