Find the LCM of 892, 660, 675, 175, 633 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 892, 660, 675, 175, 633. So, keep reading to learn more.
Given numbers are 892,660,675,175,633
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,660,675,175,633 is 9782318700.
Find LCM of 892,660,675,175,633 with Prime Factorization
2 | 892, 660, 675, 175, 633 |
2 | 446, 330, 675, 175, 633 |
3 | 223, 165, 675, 175, 633 |
5 | 223, 55, 225, 175, 211 |
5 | 223, 11, 45, 35, 211 |
223, 11, 9, 7, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 223 x 11 x 9 x 7 x 211 = 9782318700
Therefore, the lowest common multiple of 892,660,675,175,633 is 9782318700.
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.
892 x 660 x 675 x 175 x 633 = 44020434150000
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.
892 : 1, 2, 4, 223, 446, 892
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
175 : 1, 5, 7, 25, 35, 175
633 : 1, 3, 211, 633
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,660,675,175,633, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
660:2x 2x 3x 5x 11
675:3x 3x 3x 5x 5
175:5x 5x 7
633:3x 211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 5x 5x 5 = 4500
Therefore, the value for common factors is 4500.
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 = 44020434150000/(1x4500)
LCM = 44020434150000/4500
LCM = 9782318700
Thus, we can understand that the LCM of 892,660,675,175,633 is 9782318700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 892, 660, 675, 175, 633?
Answer: LCM of 892, 660, 675, 175, 633 is 9782318700.
2. How to calculate the LCM of 892, 660, 675, 175, 633?
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 892, 660, 675, 175, 633.
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}.