Find the LCM of 712, 674, 582, 302, 201 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 712, 674, 582, 302, 201. So, keep reading to learn more.
Given numbers are 712,674,582,302,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,674,582,302,201 is 706406413368.
Find LCM of 712,674,582,302,201 with Prime Factorization
2 | 712, 674, 582, 302, 201 |
3 | 356, 337, 291, 151, 201 |
356, 337, 97, 151, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 356 x 337 x 97 x 151 x 67 = 706406413368
Therefore, the lowest common multiple of 712,674,582,302,201 is 706406413368.
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.
712 x 674 x 582 x 302 x 201 = 16953753920832
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
674 : 1, 2, 337, 674
582 : 1, 2, 3, 6, 97, 194, 291, 582
302 : 1, 2, 151, 302
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,674,582,302,201, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
674:2x 337
582:2x 3x 97
302:2x 151
201:3x 67
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 16953753920832/(1x24)
LCM = 16953753920832/24
LCM = 706406413368
Thus, we can understand that the LCM of 712,674,582,302,201 is 706406413368.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 712, 674, 582, 302, 201?
Answer: LCM of 712, 674, 582, 302, 201 is 706406413368.
2. How to calculate the LCM of 712, 674, 582, 302, 201?
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 712, 674, 582, 302, 201.
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}.