Find the LCM of 883, 576, 568, 897, 444 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 883, 576, 568, 897, 444. So, keep reading to learn more.
Given numbers are 883,576,568,897,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 883,576,568,897,444 is 399497851584.
Find LCM of 883,576,568,897,444 with Prime Factorization
2 | 883, 576, 568, 897, 444 |
2 | 883, 288, 284, 897, 222 |
2 | 883, 144, 142, 897, 111 |
3 | 883, 72, 71, 897, 111 |
883, 24, 71, 299, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 883 x 24 x 71 x 299 x 37 = 399497851584
Therefore, the lowest common multiple of 883,576,568,897,444 is 399497851584.
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.
883 x 576 x 568 x 897 x 444 = 115055381256192
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.
883 : 1, 883
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
568 : 1, 2, 4, 8, 71, 142, 284, 568
897 : 1, 3, 13, 23, 39, 69, 299, 897
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 883,576,568,897,444, is 1.
Now, the common factors can be found like this.
883:883
576:2x 2x 2x 2x 2x 2x 3x 3
568:2x 2x 2x 71
897:3x 13x 23
444:2x 2x 3x 37
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 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 115055381256192/(1x288)
LCM = 115055381256192/288
LCM = 399497851584
Thus, we can understand that the LCM of 883,576,568,897,444 is 399497851584.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 883, 576, 568, 897, 444?
Answer: LCM of 883, 576, 568, 897, 444 is 399497851584.
2. How to calculate the LCM of 883, 576, 568, 897, 444?
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 883, 576, 568, 897, 444.
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}.