Find the LCM of 428, 268, 895, 661 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 428, 268, 895, 661. So, keep reading to learn more.
Given numbers are 428,268,895,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,268,895,661 is 16964578220.
Find LCM of 428,268,895,661 with Prime Factorization
2 | 428, 268, 895, 661 |
2 | 214, 134, 895, 661 |
107, 67, 895, 661 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 107 x 67 x 895 x 661 = 16964578220
Therefore, the lowest common multiple of 428,268,895,661 is 16964578220.
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.
428 x 268 x 895 x 661 = 67858312880
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.
428 : 1, 2, 4, 107, 214, 428
268 : 1, 2, 4, 67, 134, 268
895 : 1, 5, 179, 895
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,268,895,661, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
268:2x 2x 67
895:5x 179
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 67858312880/(1x4)
LCM = 67858312880/4
LCM = 16964578220
Thus, we can understand that the LCM of 428,268,895,661 is 16964578220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 428, 268, 895, 661?
Answer: LCM of 428, 268, 895, 661 is 16964578220.
2. How to calculate the LCM of 428, 268, 895, 661?
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 428, 268, 895, 661.
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}.