Find the LCM of 288, 234, 683, 316, 649 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 288, 234, 683, 316, 649. So, keep reading to learn more.
Given numbers are 288,234,683,316,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,234,683,316,649 is 131107740192.
Find LCM of 288,234,683,316,649 with Prime Factorization
2 | 288, 234, 683, 316, 649 |
2 | 144, 117, 683, 158, 649 |
3 | 72, 117, 683, 79, 649 |
3 | 24, 39, 683, 79, 649 |
8, 13, 683, 79, 649 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 8 x 13 x 683 x 79 x 649 = 131107740192
Therefore, the lowest common multiple of 288,234,683,316,649 is 131107740192.
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.
288 x 234 x 683 x 316 x 649 = 9439757293824
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
683 : 1, 683
316 : 1, 2, 4, 79, 158, 316
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,234,683,316,649, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
234:2x 3x 3x 13
683:683
316:2x 2x 79
649:11x 59
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 9439757293824/(1x72)
LCM = 9439757293824/72
LCM = 131107740192
Thus, we can understand that the LCM of 288,234,683,316,649 is 131107740192.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 288, 234, 683, 316, 649?
Answer: LCM of 288, 234, 683, 316, 649 is 131107740192.
2. How to calculate the LCM of 288, 234, 683, 316, 649?
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 288, 234, 683, 316, 649.
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}.