Find the LCM of 651, 675, 837, 600, 930 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 651, 675, 837, 600, 930. So, keep reading to learn more.
Given numbers are 651,675,837,600,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 651,675,837,600,930 is 1171800.
Find LCM of 651,675,837,600,930 with Prime Factorization
2 | 651, 675, 837, 600, 930 |
3 | 651, 675, 837, 300, 465 |
3 | 217, 225, 279, 100, 155 |
3 | 217, 75, 93, 100, 155 |
5 | 217, 25, 31, 100, 155 |
5 | 217, 5, 31, 20, 31 |
31 | 217, 1, 31, 4, 31 |
7, 1, 1, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 5 x 31 x 7 x 1 x 1 x 4 x 1 = 1171800
Therefore, the lowest common multiple of 651,675,837,600,930 is 1171800.
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.
651 x 675 x 837 x 600 x 930 = 205231688550000
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.
651 : 1, 3, 7, 21, 31, 93, 217, 651
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
837 : 1, 3, 9, 27, 31, 93, 279, 837
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
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,675,837,600,930, is 3.
Now, the common factors can be found like this.
651:3x 7x 31
675:3x 3x 3x 5x 5
837:3x 3x 3x 31
600:2x 2x 2x 3x 5x 5
930:2x 3x 5x 31
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 3x 3x 3x 3x 5x 5x 5x 31x 31 = 58380750
Therefore, the value for common factors is 58380750.
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 = 205231688550000/(3x58380750)
LCM = 205231688550000/175142250
LCM = 1171800
Thus, we can understand that the LCM of 651,675,837,600,930 is 1171800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 651, 675, 837, 600, 930?
Answer: LCM of 651, 675, 837, 600, 930 is 1171800.
2. How to calculate the LCM of 651, 675, 837, 600, 930?
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 651, 675, 837, 600, 930.
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}.