Find the LCM of 471, 726, 973, 814, 578 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 471, 726, 973, 814, 578. So, keep reading to learn more.
Given numbers are 471,726,973,814,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,726,973,814,578 is 1185901668798.
Find LCM of 471,726,973,814,578 with Prime Factorization
2 | 471, 726, 973, 814, 578 |
3 | 471, 363, 973, 407, 289 |
11 | 157, 121, 973, 407, 289 |
157, 11, 973, 37, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 157 x 11 x 973 x 37 x 289 = 1185901668798
Therefore, the lowest common multiple of 471,726,973,814,578 is 1185901668798.
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.
471 x 726 x 973 x 814 x 578 = 156539020281336
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.
471 : 1, 3, 157, 471
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
973 : 1, 7, 139, 973
814 : 1, 2, 11, 22, 37, 74, 407, 814
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,726,973,814,578, is 1.
Now, the common factors can be found like this.
471:3x 157
726:2x 3x 11x 11
973:7x 139
814:2x 11x 37
578:2x 17x 17
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 11 = 132
Therefore, the value for common factors is 132.
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 = 156539020281336/(1x132)
LCM = 156539020281336/132
LCM = 1185901668798
Thus, we can understand that the LCM of 471,726,973,814,578 is 1185901668798.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 471, 726, 973, 814, 578?
Answer: LCM of 471, 726, 973, 814, 578 is 1185901668798.
2. How to calculate the LCM of 471, 726, 973, 814, 578?
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 471, 726, 973, 814, 578.
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}.