Find the LCM of 947, 814, 538, 563, 663 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, 814, 538, 563, 663. So, keep reading to learn more.
Given numbers are 947,814,538,563,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 947,814,538,563,663 is 77401359201738.
Find LCM of 947,814,538,563,663 with Prime Factorization
2 | 947, 814, 538, 563, 663 |
947, 407, 269, 563, 663 |
Multiply the prime numbers at the bottom and the left side.
2 x 947 x 407 x 269 x 563 x 663 = 77401359201738
Therefore, the lowest common multiple of 947,814,538,563,663 is 77401359201738.
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 814 x 538 x 563 x 663 = 154802718403476
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
538 : 1, 2, 269, 538
563 : 1, 563
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,814,538,563,663, is 1.
Now, the common factors can be found like this.
947:947
814:2x 11x 37
538:2x 269
563:563
663:3x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 154802718403476/(1x2)
LCM = 154802718403476/2
LCM = 77401359201738
Thus, we can understand that the LCM of 947,814,538,563,663 is 77401359201738.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 947, 814, 538, 563, 663?
Answer: LCM of 947, 814, 538, 563, 663 is 77401359201738.
2. How to calculate the LCM of 947, 814, 538, 563, 663?
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, 814, 538, 563, 663.
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}.