Find the LCM of 889, 338, 984, 936 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 889, 338, 984, 936. So, keep reading to learn more.
Given numbers are 889,338,984,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,338,984,936 is 443511432.
Find LCM of 889,338,984,936 with Prime Factorization
2 | 889, 338, 984, 936 |
2 | 889, 169, 492, 468 |
2 | 889, 169, 246, 234 |
3 | 889, 169, 123, 117 |
13 | 889, 169, 41, 39 |
889, 13, 41, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 889 x 13 x 41 x 3 = 443511432
Therefore, the lowest common multiple of 889,338,984,936 is 443511432.
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.
889 x 338 x 984 x 936 = 276751133568
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.
889 : 1, 7, 127, 889
338 : 1, 2, 13, 26, 169, 338
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,338,984,936, is 1.
Now, the common factors can be found like this.
889:7x 127
338:2x 13x 13
984:2x 2x 2x 3x 41
936:2x 2x 2x 3x 3x 13
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 3x 13 = 624
Therefore, the value for common factors is 624.
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 = 276751133568/(1x624)
LCM = 276751133568/624
LCM = 443511432
Thus, we can understand that the LCM of 889,338,984,936 is 443511432.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 889, 338, 984, 936?
Answer: LCM of 889, 338, 984, 936 is 443511432.
2. How to calculate the LCM of 889, 338, 984, 936?
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 889, 338, 984, 936.
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}.