Find the LCM of 764, 361, 191, 293 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 764, 361, 191, 293. So, keep reading to learn more.
Given numbers are 764,361,191,293
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,361,191,293 is 80810572.
Find LCM of 764,361,191,293 with Prime Factorization
191 | 764, 361, 191, 293 |
4, 361, 1, 293 |
Multiply the prime numbers at the bottom and the left side.
191 x 4 x 361 x 1 x 293 = 80810572
Therefore, the lowest common multiple of 764,361,191,293 is 80810572.
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.
764 x 361 x 191 x 293 = 15434819252
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.
764 : 1, 2, 4, 191, 382, 764
361 : 1, 19, 361
191 : 1, 191
293 : 1, 293
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,361,191,293, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
361:19x 19
191:191
293:293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
191 = 191
Therefore, the value for common factors is 191.
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 = 15434819252/(1x191)
LCM = 15434819252/191
LCM = 80810572
Thus, we can understand that the LCM of 764,361,191,293 is 80810572.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 764, 361, 191, 293?
Answer: LCM of 764, 361, 191, 293 is 80810572.
2. How to calculate the LCM of 764, 361, 191, 293?
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 764, 361, 191, 293.
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}.