Find the LCM of 283, 325, 399, 882 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 283, 325, 399, 882. So, keep reading to learn more.
Given numbers are 283,325,399,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,325,399,882 is 1541317050.
Find LCM of 283,325,399,882 with Prime Factorization
3 | 283, 325, 399, 882 |
7 | 283, 325, 133, 294 |
283, 325, 19, 42 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 283 x 325 x 19 x 42 = 1541317050
Therefore, the lowest common multiple of 283,325,399,882 is 1541317050.
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.
283 x 325 x 399 x 882 = 32367658050
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.
283 : 1, 283
325 : 1, 5, 13, 25, 65, 325
399 : 1, 3, 7, 19, 21, 57, 133, 399
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,325,399,882, is 1.
Now, the common factors can be found like this.
283:283
325:5x 5x 13
399:3x 7x 19
882:2x 3x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 32367658050/(1x21)
LCM = 32367658050/21
LCM = 1541317050
Thus, we can understand that the LCM of 283,325,399,882 is 1541317050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 283, 325, 399, 882?
Answer: LCM of 283, 325, 399, 882 is 1541317050.
2. How to calculate the LCM of 283, 325, 399, 882?
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 283, 325, 399, 882.
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}.