Find the LCM of 487, 559, 524, 786, 338 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 487, 559, 524, 786, 338. So, keep reading to learn more.
Given numbers are 487,559,524,786,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,559,524,786,338 is 5563353588.
Find LCM of 487,559,524,786,338 with Prime Factorization
2 | 487, 559, 524, 786, 338 |
13 | 487, 559, 262, 393, 169 |
131 | 487, 43, 262, 393, 13 |
487, 43, 2, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 131 x 487 x 43 x 2 x 3 x 13 = 5563353588
Therefore, the lowest common multiple of 487,559,524,786,338 is 5563353588.
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.
487 x 559 x 524 x 786 x 338 = 37897564641456
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.
487 : 1, 487
559 : 1, 13, 43, 559
524 : 1, 2, 4, 131, 262, 524
786 : 1, 2, 3, 6, 131, 262, 393, 786
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,559,524,786,338, is 1.
Now, the common factors can be found like this.
487:487
559:13x 43
524:2x 2x 131
786:2x 3x 131
338:2x 13x 13
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 13x 131 = 6812
Therefore, the value for common factors is 6812.
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 = 37897564641456/(1x6812)
LCM = 37897564641456/6812
LCM = 5563353588
Thus, we can understand that the LCM of 487,559,524,786,338 is 5563353588.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 559, 524, 786, 338?
Answer: LCM of 487, 559, 524, 786, 338 is 5563353588.
2. How to calculate the LCM of 487, 559, 524, 786, 338?
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 487, 559, 524, 786, 338.
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}.