Find the LCM of 768, 477, 447, 318 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 768, 477, 447, 318. So, keep reading to learn more.
Given numbers are 768,477,447,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,477,447,318 is 18194688.
Find LCM of 768,477,447,318 with Prime Factorization
2 | 768, 477, 447, 318 |
3 | 384, 477, 447, 159 |
53 | 128, 53, 149, 159 |
128, 1, 149, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 128 x 1 x 149 x 3 = 18194688
Therefore, the lowest common multiple of 768,477,447,318 is 18194688.
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.
768 x 477 x 447 x 318 = 52073197056
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
477 : 1, 3, 9, 53, 159, 477
447 : 1, 3, 149, 447
318 : 1, 2, 3, 6, 53, 106, 159, 318
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,477,447,318, is 3.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
477:3x 3x 53
447:3x 149
318:2x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 53 = 954
Therefore, the value for common factors is 954.
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 = 52073197056/(3x954)
LCM = 52073197056/2862
LCM = 18194688
Thus, we can understand that the LCM of 768,477,447,318 is 18194688.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 768, 477, 447, 318?
Answer: LCM of 768, 477, 447, 318 is 18194688.
2. How to calculate the LCM of 768, 477, 447, 318?
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 768, 477, 447, 318.
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}.