Find the LCM of 687, 143, 308, 523 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 687, 143, 308, 523. So, keep reading to learn more.
Given numbers are 687,143,308,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,143,308,523 is 1438641204.
Find LCM of 687,143,308,523 with Prime Factorization
11 | 687, 143, 308, 523 |
687, 13, 28, 523 |
Multiply the prime numbers at the bottom and the left side.
11 x 687 x 13 x 28 x 523 = 1438641204
Therefore, the lowest common multiple of 687,143,308,523 is 1438641204.
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.
687 x 143 x 308 x 523 = 15825053244
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.
687 : 1, 3, 229, 687
143 : 1, 11, 13, 143
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,143,308,523, is 1.
Now, the common factors can be found like this.
687:3x 229
143:11x 13
308:2x 2x 7x 11
523:523
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 15825053244/(1x11)
LCM = 15825053244/11
LCM = 1438641204
Thus, we can understand that the LCM of 687,143,308,523 is 1438641204.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 687, 143, 308, 523?
Answer: LCM of 687, 143, 308, 523 is 1438641204.
2. How to calculate the LCM of 687, 143, 308, 523?
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 687, 143, 308, 523.
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}.