Find the LCM of 766, 400, 789, 400, 912 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 766, 400, 789, 400, 912. So, keep reading to learn more.
Given numbers are 766,400,789,400,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 766,400,789,400,912 is 2296621200.
Find LCM of 766,400,789,400,912 with Prime Factorization
2 | 766, 400, 789, 400, 912 |
2 | 383, 200, 789, 200, 456 |
2 | 383, 100, 789, 100, 228 |
2 | 383, 50, 789, 50, 114 |
3 | 383, 25, 789, 25, 57 |
5 | 383, 25, 263, 25, 19 |
5 | 383, 5, 263, 5, 19 |
383, 1, 263, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 5 x 383 x 1 x 263 x 1 x 19 = 2296621200
Therefore, the lowest common multiple of 766,400,789,400,912 is 2296621200.
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.
766 x 400 x 789 x 400 x 912 = 88190254080000
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.
766 : 1, 2, 383, 766
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
789 : 1, 3, 263, 789
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,400,789,400,912, is 1.
Now, the common factors can be found like this.
766:2x 383
400:2x 2x 2x 2x 5x 5
789:3x 263
400:2x 2x 2x 2x 5x 5
912:2x 2x 2x 2x 3x 19
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 2x 2x 2x 2x 3x 5x 5 = 38400
Therefore, the value for common factors is 38400.
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 = 88190254080000/(1x38400)
LCM = 88190254080000/38400
LCM = 2296621200
Thus, we can understand that the LCM of 766,400,789,400,912 is 2296621200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 766, 400, 789, 400, 912?
Answer: LCM of 766, 400, 789, 400, 912 is 2296621200.
2. How to calculate the LCM of 766, 400, 789, 400, 912?
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 766, 400, 789, 400, 912.
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}.