Find the LCM of 905, 128, 947, 756, 540 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 905, 128, 947, 756, 540. So, keep reading to learn more.
Given numbers are 905,128,947,756,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,128,947,756,540 is 20733390720.
Find LCM of 905,128,947,756,540 with Prime Factorization
2 | 905, 128, 947, 756, 540 |
2 | 905, 64, 947, 378, 270 |
3 | 905, 32, 947, 189, 135 |
3 | 905, 32, 947, 63, 45 |
3 | 905, 32, 947, 21, 15 |
5 | 905, 32, 947, 7, 5 |
181, 32, 947, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 181 x 32 x 947 x 7 x 1 = 20733390720
Therefore, the lowest common multiple of 905,128,947,756,540 is 20733390720.
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.
905 x 128 x 947 x 756 x 540 = 44784123955200
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.
905 : 1, 5, 181, 905
128 : 1, 2, 4, 8, 16, 32, 64, 128
947 : 1, 947
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,128,947,756,540, is 1.
Now, the common factors can be found like this.
905:5x 181
128:2x 2x 2x 2x 2x 2x 2
947:947
756:2x 2x 3x 3x 3x 7
540:2x 2x 3x 3x 3x 5
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 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 44784123955200/(1x2160)
LCM = 44784123955200/2160
LCM = 20733390720
Thus, we can understand that the LCM of 905,128,947,756,540 is 20733390720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 905, 128, 947, 756, 540?
Answer: LCM of 905, 128, 947, 756, 540 is 20733390720.
2. How to calculate the LCM of 905, 128, 947, 756, 540?
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 905, 128, 947, 756, 540.
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}.