Find the LCM of 487, 600, 909, 974 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, 600, 909, 974. So, keep reading to learn more.
Given numbers are 487,600,909,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,600,909,974 is 88536600.
Find LCM of 487,600,909,974 with Prime Factorization
2 | 487, 600, 909, 974 |
3 | 487, 300, 909, 487 |
487 | 487, 100, 303, 487 |
1, 100, 303, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 487 x 1 x 100 x 303 x 1 = 88536600
Therefore, the lowest common multiple of 487,600,909,974 is 88536600.
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 600 x 909 x 974 = 258703945200
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
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
909 : 1, 3, 9, 101, 303, 909
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,600,909,974, is 1.
Now, the common factors can be found like this.
487:487
600:2x 2x 2x 3x 5x 5
909:3x 3x 101
974:2x 487
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 487 = 2922
Therefore, the value for common factors is 2922.
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 = 258703945200/(1x2922)
LCM = 258703945200/2922
LCM = 88536600
Thus, we can understand that the LCM of 487,600,909,974 is 88536600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 600, 909, 974?
Answer: LCM of 487, 600, 909, 974 is 88536600.
2. How to calculate the LCM of 487, 600, 909, 974?
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, 600, 909, 974.
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}.