Find the LCM of 538, 745, 447, 343, 751 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 538, 745, 447, 343, 751. So, keep reading to learn more.
Given numbers are 538,745,447,343,751
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,745,447,343,751 is 309737550990.
Find LCM of 538,745,447,343,751 with Prime Factorization
149 | 538, 745, 447, 343, 751 |
538, 5, 3, 343, 751 |
Multiply the prime numbers at the bottom and the left side.
149 x 538 x 5 x 3 x 343 x 751 = 309737550990
Therefore, the lowest common multiple of 538,745,447,343,751 is 309737550990.
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.
538 x 745 x 447 x 343 x 751 = 46150895097510
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.
538 : 1, 2, 269, 538
745 : 1, 5, 149, 745
447 : 1, 3, 149, 447
343 : 1, 7, 49, 343
751 : 1, 751
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,745,447,343,751, is 1.
Now, the common factors can be found like this.
538:2x 269
745:5x 149
447:3x 149
343:7x 7x 7
751:751
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
149 = 149
Therefore, the value for common factors is 149.
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 = 46150895097510/(1x149)
LCM = 46150895097510/149
LCM = 309737550990
Thus, we can understand that the LCM of 538,745,447,343,751 is 309737550990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 538, 745, 447, 343, 751?
Answer: LCM of 538, 745, 447, 343, 751 is 309737550990.
2. How to calculate the LCM of 538, 745, 447, 343, 751?
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 538, 745, 447, 343, 751.
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}.