Find the LCM of 487, 590, 251, 251 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, 590, 251, 251. So, keep reading to learn more.
Given numbers are 487,590,251,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,590,251,251 is 72119830.
Find LCM of 487,590,251,251 with Prime Factorization
251 | 487, 590, 251, 251 |
487, 590, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
251 x 487 x 590 x 1 x 1 = 72119830
Therefore, the lowest common multiple of 487,590,251,251 is 72119830.
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 590 x 251 x 251 = 18102077330
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
590 : 1, 2, 5, 10, 59, 118, 295, 590
251 : 1, 251
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,590,251,251, is 1.
Now, the common factors can be found like this.
487:487
590:2x 5x 59
251:251
251:251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
251 = 251
Therefore, the value for common factors is 251.
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 = 18102077330/(1x251)
LCM = 18102077330/251
LCM = 72119830
Thus, we can understand that the LCM of 487,590,251,251 is 72119830.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 590, 251, 251?
Answer: LCM of 487, 590, 251, 251 is 72119830.
2. How to calculate the LCM of 487, 590, 251, 251?
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, 590, 251, 251.
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}.