Find the LCM of 752, 986, 194, 232 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 752, 986, 194, 232. So, keep reading to learn more.
Given numbers are 752,986,194,232
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 752,986,194,232 is 35961392.
Find LCM of 752,986,194,232 with Prime Factorization
2 | 752, 986, 194, 232 |
2 | 376, 493, 97, 116 |
2 | 188, 493, 97, 58 |
29 | 94, 493, 97, 29 |
94, 17, 97, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 29 x 94 x 17 x 97 x 1 = 35961392
Therefore, the lowest common multiple of 752,986,194,232 is 35961392.
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.
752 x 986 x 194 x 232 = 33372171776
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.
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
986 : 1, 2, 17, 29, 34, 58, 493, 986
194 : 1, 2, 97, 194
232 : 1, 2, 4, 8, 29, 58, 116, 232
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,986,194,232, is 2.
Now, the common factors can be found like this.
752:2x 2x 2x 2x 47
986:2x 17x 29
194:2x 97
232:2x 2x 2x 29
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 2x 29 = 464
Therefore, the value for common factors is 464.
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 = 33372171776/(2x464)
LCM = 33372171776/928
LCM = 35961392
Thus, we can understand that the LCM of 752,986,194,232 is 35961392.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 752, 986, 194, 232?
Answer: LCM of 752, 986, 194, 232 is 35961392.
2. How to calculate the LCM of 752, 986, 194, 232?
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 752, 986, 194, 232.
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}.