Find the LCM of 937, 843, 288, 918, 914 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 937, 843, 288, 918, 914. So, keep reading to learn more.
Given numbers are 937,843,288,918,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,843,288,918,914 is 1767358995552.
Find LCM of 937,843,288,918,914 with Prime Factorization
2 | 937, 843, 288, 918, 914 |
3 | 937, 843, 144, 459, 457 |
3 | 937, 281, 48, 153, 457 |
937, 281, 16, 51, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 937 x 281 x 16 x 51 x 457 = 1767358995552
Therefore, the lowest common multiple of 937,843,288,918,914 is 1767358995552.
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.
937 x 843 x 288 x 918 x 914 = 190874771519616
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.
937 : 1, 937
843 : 1, 3, 281, 843
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,843,288,918,914, is 1.
Now, the common factors can be found like this.
937:937
843:3x 281
288:2x 2x 2x 2x 2x 3x 3
918:2x 3x 3x 3x 17
914:2x 457
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 3 = 108
Therefore, the value for common factors is 108.
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 = 190874771519616/(1x108)
LCM = 190874771519616/108
LCM = 1767358995552
Thus, we can understand that the LCM of 937,843,288,918,914 is 1767358995552.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 937, 843, 288, 918, 914?
Answer: LCM of 937, 843, 288, 918, 914 is 1767358995552.
2. How to calculate the LCM of 937, 843, 288, 918, 914?
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 937, 843, 288, 918, 914.
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}.