Find the LCM of 243, 948, 388, 632, 283 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 243, 948, 388, 632, 283. So, keep reading to learn more.
Given numbers are 243,948,388,632,283
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,948,388,632,283 is 4215814776.
Find LCM of 243,948,388,632,283 with Prime Factorization
2 | 243, 948, 388, 632, 283 |
2 | 243, 474, 194, 316, 283 |
3 | 243, 237, 97, 158, 283 |
79 | 81, 79, 97, 158, 283 |
81, 1, 97, 2, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 79 x 81 x 1 x 97 x 2 x 283 = 4215814776
Therefore, the lowest common multiple of 243,948,388,632,283 is 4215814776.
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.
243 x 948 x 388 x 632 x 283 = 15986369630592
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.
243 : 1, 3, 9, 27, 81, 243
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
388 : 1, 2, 4, 97, 194, 388
632 : 1, 2, 4, 8, 79, 158, 316, 632
283 : 1, 283
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,948,388,632,283, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
948:2x 2x 3x 79
388:2x 2x 97
632:2x 2x 2x 79
283:283
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 3x 79 = 3792
Therefore, the value for common factors is 3792.
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 = 15986369630592/(1x3792)
LCM = 15986369630592/3792
LCM = 4215814776
Thus, we can understand that the LCM of 243,948,388,632,283 is 4215814776.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 243, 948, 388, 632, 283?
Answer: LCM of 243, 948, 388, 632, 283 is 4215814776.
2. How to calculate the LCM of 243, 948, 388, 632, 283?
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 243, 948, 388, 632, 283.
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}.