Find the LCM of 892, 448, 370, 715, 165 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, 448, 370, 715, 165. So, keep reading to learn more.
Given numbers are 892,448,370,715,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,448,370,715,165 is 7928880960.
Find LCM of 892,448,370,715,165 with Prime Factorization
2 | 892, 448, 370, 715, 165 |
2 | 446, 224, 185, 715, 165 |
5 | 223, 112, 185, 715, 165 |
11 | 223, 112, 37, 143, 33 |
223, 112, 37, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 223 x 112 x 37 x 13 x 3 = 7928880960
Therefore, the lowest common multiple of 892,448,370,715,165 is 7928880960.
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 448 x 370 x 715 x 165 = 17443538112000
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
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
370 : 1, 2, 5, 10, 37, 74, 185, 370
715 : 1, 5, 11, 13, 55, 65, 143, 715
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,448,370,715,165, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
448:2x 2x 2x 2x 2x 2x 7
370:2x 5x 37
715:5x 11x 13
165:3x 5x 11
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 2x 5x 5x 11 = 2200
Therefore, the value for common factors is 2200.
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 = 17443538112000/(1x2200)
LCM = 17443538112000/2200
LCM = 7928880960
Thus, we can understand that the LCM of 892,448,370,715,165 is 7928880960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 892, 448, 370, 715, 165?
Answer: LCM of 892, 448, 370, 715, 165 is 7928880960.
2. How to calculate the LCM of 892, 448, 370, 715, 165?
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, 448, 370, 715, 165.
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}.