Find the LCM of 894, 981, 936, 782 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 894, 981, 936, 782. So, keep reading to learn more.
Given numbers are 894,981,936,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,981,936,782 is 5943816216.
Find LCM of 894,981,936,782 with Prime Factorization
2 | 894, 981, 936, 782 |
3 | 447, 981, 468, 391 |
3 | 149, 327, 156, 391 |
149, 109, 52, 391 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 149 x 109 x 52 x 391 = 5943816216
Therefore, the lowest common multiple of 894,981,936,782 is 5943816216.
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.
894 x 981 x 936 x 782 = 641932151328
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
981 : 1, 3, 9, 109, 327, 981
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
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,981,936,782, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
981:3x 3x 109
936:2x 2x 2x 3x 3x 13
782:2x 17x 23
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 = 641932151328/(1x108)
LCM = 641932151328/108
LCM = 5943816216
Thus, we can understand that the LCM of 894,981,936,782 is 5943816216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 894, 981, 936, 782?
Answer: LCM of 894, 981, 936, 782 is 5943816216.
2. How to calculate the LCM of 894, 981, 936, 782?
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 894, 981, 936, 782.
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}.