Find the LCM of 947, 894, 874, 227, 468 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 947, 894, 874, 227, 468. So, keep reading to learn more.
Given numbers are 947,894,874,227,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 947,894,874,227,468 is 6550725400596.
Find LCM of 947,894,874,227,468 with Prime Factorization
2 | 947, 894, 874, 227, 468 |
3 | 947, 447, 437, 227, 234 |
947, 149, 437, 227, 78 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 947 x 149 x 437 x 227 x 78 = 6550725400596
Therefore, the lowest common multiple of 947,894,874,227,468 is 6550725400596.
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.
947 x 894 x 874 x 227 x 468 = 78608704807152
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.
947 : 1, 947
894 : 1, 2, 3, 6, 149, 298, 447, 894
874 : 1, 2, 19, 23, 38, 46, 437, 874
227 : 1, 227
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,894,874,227,468, is 1.
Now, the common factors can be found like this.
947:947
894:2x 3x 149
874:2x 19x 23
227:227
468:2x 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 3 = 12
Therefore, the value for common factors is 12.
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 = 78608704807152/(1x12)
LCM = 78608704807152/12
LCM = 6550725400596
Thus, we can understand that the LCM of 947,894,874,227,468 is 6550725400596.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 947, 894, 874, 227, 468?
Answer: LCM of 947, 894, 874, 227, 468 is 6550725400596.
2. How to calculate the LCM of 947, 894, 874, 227, 468?
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 947, 894, 874, 227, 468.
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}.