Find the LCM of 972, 536, 348, 729, 284 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, 536, 348, 729, 284. So, keep reading to learn more.
Given numbers are 972,536,348,729,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,536,348,729,284 is 804541896.
Find LCM of 972,536,348,729,284 with Prime Factorization
2 | 972, 536, 348, 729, 284 |
2 | 486, 268, 174, 729, 142 |
3 | 243, 134, 87, 729, 71 |
3 | 81, 134, 29, 243, 71 |
3 | 27, 134, 29, 81, 71 |
3 | 9, 134, 29, 27, 71 |
3 | 3, 134, 29, 9, 71 |
1, 134, 29, 3, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 3 x 1 x 134 x 29 x 3 x 71 = 804541896
Therefore, the lowest common multiple of 972,536,348,729,284 is 804541896.
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 536 x 348 x 729 x 284 = 37536706699776
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
536 : 1, 2, 4, 8, 67, 134, 268, 536
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
729 : 1, 3, 9, 27, 81, 243, 729
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,536,348,729,284, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
536:2x 2x 2x 67
348:2x 2x 3x 29
729:3x 3x 3x 3x 3x 3
284:2x 2x 71
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 2x 2x 3x 3x 3x 3x 3x 3 = 46656
Therefore, the value for common factors is 46656.
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 = 37536706699776/(1x46656)
LCM = 37536706699776/46656
LCM = 804541896
Thus, we can understand that the LCM of 972,536,348,729,284 is 804541896.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 536, 348, 729, 284?
Answer: LCM of 972, 536, 348, 729, 284 is 804541896.
2. How to calculate the LCM of 972, 536, 348, 729, 284?
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, 536, 348, 729, 284.
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}.