Find the LCM of 714, 428, 996, 361 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 714, 428, 996, 361. So, keep reading to learn more.
Given numbers are 714,428,996,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,428,996,361 is 4578226548.
Find LCM of 714,428,996,361 with Prime Factorization
2 | 714, 428, 996, 361 |
2 | 357, 214, 498, 361 |
3 | 357, 107, 249, 361 |
119, 107, 83, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 119 x 107 x 83 x 361 = 4578226548
Therefore, the lowest common multiple of 714,428,996,361 is 4578226548.
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.
714 x 428 x 996 x 361 = 109877437152
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
428 : 1, 2, 4, 107, 214, 428
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,428,996,361, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
428:2x 2x 107
996:2x 2x 3x 83
361:19x 19
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 = 109877437152/(1x24)
LCM = 109877437152/24
LCM = 4578226548
Thus, we can understand that the LCM of 714,428,996,361 is 4578226548.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 714, 428, 996, 361?
Answer: LCM of 714, 428, 996, 361 is 4578226548.
2. How to calculate the LCM of 714, 428, 996, 361?
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 714, 428, 996, 361.
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}.