Find the LCM of 939, 514, 792, 972 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 939, 514, 792, 972. So, keep reading to learn more.
Given numbers are 939,514,792,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,514,792,972 is 1720150344.
Find LCM of 939,514,792,972 with Prime Factorization
2 | 939, 514, 792, 972 |
2 | 939, 257, 396, 486 |
3 | 939, 257, 198, 243 |
3 | 313, 257, 66, 81 |
313, 257, 22, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 313 x 257 x 22 x 27 = 1720150344
Therefore, the lowest common multiple of 939,514,792,972 is 1720150344.
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.
939 x 514 x 792 x 972 = 371552474304
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.
939 : 1, 3, 313, 939
514 : 1, 2, 257, 514
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,514,792,972, is 1.
Now, the common factors can be found like this.
939:3x 313
514:2x 257
792:2x 2x 2x 3x 3x 11
972:2x 2x 3x 3x 3x 3x 3
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 371552474304/(1x216)
LCM = 371552474304/216
LCM = 1720150344
Thus, we can understand that the LCM of 939,514,792,972 is 1720150344.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 939, 514, 792, 972?
Answer: LCM of 939, 514, 792, 972 is 1720150344.
2. How to calculate the LCM of 939, 514, 792, 972?
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 939, 514, 792, 972.
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}.