Find the LCM of 487, 734, 126, 782, 458 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, 734, 126, 782, 458. So, keep reading to learn more.
Given numbers are 487,734,126,782,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,734,126,782,458 is 2016405207306.
Find LCM of 487,734,126,782,458 with Prime Factorization
2 | 487, 734, 126, 782, 458 |
487, 367, 63, 391, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 487 x 367 x 63 x 391 x 229 = 2016405207306
Therefore, the lowest common multiple of 487,734,126,782,458 is 2016405207306.
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 734 x 126 x 782 x 458 = 16131241658448
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
734 : 1, 2, 367, 734
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
782 : 1, 2, 17, 23, 34, 46, 391, 782
458 : 1, 2, 229, 458
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,734,126,782,458, is 1.
Now, the common factors can be found like this.
487:487
734:2x 367
126:2x 3x 3x 7
782:2x 17x 23
458:2x 229
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 2 = 8
Therefore, the value for common factors is 8.
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 = 16131241658448/(1x8)
LCM = 16131241658448/8
LCM = 2016405207306
Thus, we can understand that the LCM of 487,734,126,782,458 is 2016405207306.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 734, 126, 782, 458?
Answer: LCM of 487, 734, 126, 782, 458 is 2016405207306.
2. How to calculate the LCM of 487, 734, 126, 782, 458?
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, 734, 126, 782, 458.
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}.