Find the LCM of 524, 363, 347, 917, 487 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 524, 363, 347, 917, 487. So, keep reading to learn more.
Given numbers are 524,363,347,917,487
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,363,347,917,487 is 225006149676.
Find LCM of 524,363,347,917,487 with Prime Factorization
131 | 524, 363, 347, 917, 487 |
4, 363, 347, 7, 487 |
Multiply the prime numbers at the bottom and the left side.
131 x 4 x 363 x 347 x 7 x 487 = 225006149676
Therefore, the lowest common multiple of 524,363,347,917,487 is 225006149676.
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.
524 x 363 x 347 x 917 x 487 = 29475805607556
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.
524 : 1, 2, 4, 131, 262, 524
363 : 1, 3, 11, 33, 121, 363
347 : 1, 347
917 : 1, 7, 131, 917
487 : 1, 487
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,363,347,917,487, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
363:3x 11x 11
347:347
917:7x 131
487:487
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
131 = 131
Therefore, the value for common factors is 131.
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 = 29475805607556/(1x131)
LCM = 29475805607556/131
LCM = 225006149676
Thus, we can understand that the LCM of 524,363,347,917,487 is 225006149676.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 524, 363, 347, 917, 487?
Answer: LCM of 524, 363, 347, 917, 487 is 225006149676.
2. How to calculate the LCM of 524, 363, 347, 917, 487?
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 524, 363, 347, 917, 487.
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}.