Find the LCM of 486, 611, 637, 923 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 486, 611, 637, 923. So, keep reading to learn more.
Given numbers are 486,611,637,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,611,637,923 is 1033075134.
Find LCM of 486,611,637,923 with Prime Factorization
13 | 486, 611, 637, 923 |
486, 47, 49, 71 |
Multiply the prime numbers at the bottom and the left side.
13 x 486 x 47 x 49 x 71 = 1033075134
Therefore, the lowest common multiple of 486,611,637,923 is 1033075134.
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.
486 x 611 x 637 x 923 = 174589697646
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
611 : 1, 13, 47, 611
637 : 1, 7, 13, 49, 91, 637
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,611,637,923, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
611:13x 47
637:7x 7x 13
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 174589697646/(1x169)
LCM = 174589697646/169
LCM = 1033075134
Thus, we can understand that the LCM of 486,611,637,923 is 1033075134.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 486, 611, 637, 923?
Answer: LCM of 486, 611, 637, 923 is 1033075134.
2. How to calculate the LCM of 486, 611, 637, 923?
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 486, 611, 637, 923.
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}.