Find the LCM of 191, 764, 531, 343, 516 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 191, 764, 531, 343, 516. So, keep reading to learn more.
Given numbers are 191,764,531,343,516
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 191,764,531,343,516 is 5983433316.
Find LCM of 191,764,531,343,516 with Prime Factorization
2 | 191, 764, 531, 343, 516 |
2 | 191, 382, 531, 343, 258 |
3 | 191, 191, 531, 343, 129 |
191 | 191, 191, 177, 343, 43 |
1, 1, 177, 343, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 191 x 1 x 1 x 177 x 343 x 43 = 5983433316
Therefore, the lowest common multiple of 191,764,531,343,516 is 5983433316.
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.
191 x 764 x 531 x 343 x 516 = 13714029160272
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.
191 : 1, 191
764 : 1, 2, 4, 191, 382, 764
531 : 1, 3, 9, 59, 177, 531
343 : 1, 7, 49, 343
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 191,764,531,343,516, is 1.
Now, the common factors can be found like this.
191:191
764:2x 2x 191
531:3x 3x 59
343:7x 7x 7
516:2x 2x 3x 43
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 191 = 2292
Therefore, the value for common factors is 2292.
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 = 13714029160272/(1x2292)
LCM = 13714029160272/2292
LCM = 5983433316
Thus, we can understand that the LCM of 191,764,531,343,516 is 5983433316.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 191, 764, 531, 343, 516?
Answer: LCM of 191, 764, 531, 343, 516 is 5983433316.
2. How to calculate the LCM of 191, 764, 531, 343, 516?
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 191, 764, 531, 343, 516.
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}.