Find the LCM of 487, 508, 762, 703 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, 508, 762, 703. So, keep reading to learn more.
Given numbers are 487,508,762,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,508,762,703 is 521758164.
Find LCM of 487,508,762,703 with Prime Factorization
2 | 487, 508, 762, 703 |
127 | 487, 254, 381, 703 |
487, 2, 3, 703 |
Multiply the prime numbers at the bottom and the left side.
2 x 127 x 487 x 2 x 3 x 703 = 521758164
Therefore, the lowest common multiple of 487,508,762,703 is 521758164.
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 508 x 762 x 703 = 132526573656
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
508 : 1, 2, 4, 127, 254, 508
762 : 1, 2, 3, 6, 127, 254, 381, 762
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,508,762,703, is 1.
Now, the common factors can be found like this.
487:487
508:2x 2x 127
762:2x 3x 127
703:19x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 127 = 254
Therefore, the value for common factors is 254.
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 = 132526573656/(1x254)
LCM = 132526573656/254
LCM = 521758164
Thus, we can understand that the LCM of 487,508,762,703 is 521758164.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 508, 762, 703?
Answer: LCM of 487, 508, 762, 703 is 521758164.
2. How to calculate the LCM of 487, 508, 762, 703?
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, 508, 762, 703.
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}.