Find the LCM of 972, 687, 446, 962 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 972, 687, 446, 962. So, keep reading to learn more.
Given numbers are 972,687,446,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,687,446,962 is 23875456644.
Find LCM of 972,687,446,962 with Prime Factorization
2 | 972, 687, 446, 962 |
3 | 486, 687, 223, 481 |
162, 229, 223, 481 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 162 x 229 x 223 x 481 = 23875456644
Therefore, the lowest common multiple of 972,687,446,962 is 23875456644.
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.
972 x 687 x 446 x 962 = 286505479728
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
687 : 1, 3, 229, 687
446 : 1, 2, 223, 446
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,687,446,962, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
687:3x 229
446:2x 223
962:2x 13x 37
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 3 = 12
Therefore, the value for common factors is 12.
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 = 286505479728/(1x12)
LCM = 286505479728/12
LCM = 23875456644
Thus, we can understand that the LCM of 972,687,446,962 is 23875456644.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 687, 446, 962?
Answer: LCM of 972, 687, 446, 962 is 23875456644.
2. How to calculate the LCM of 972, 687, 446, 962?
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 972, 687, 446, 962.
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}.