LCM of 972, 972, 576, 939
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 972, 576, 939 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, 972, 576, 939. So, keep reading to learn more.
Given numbers are 972,972,576,939
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,972,576,939 is 4867776.
Find LCM of 972,972,576,939 with Prime Factorization
| 2 | 972, 972, 576, 939 |
| 2 | 486, 486, 288, 939 |
| 3 | 243, 243, 144, 939 |
| 3 | 81, 81, 48, 313 |
| 3 | 27, 27, 16, 313 |
| 3 | 9, 9, 16, 313 |
| 3 | 3, 3, 16, 313 |
| 1, 1, 16, 313 |
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 1 x 16 x 313 = 4867776
Therefore, the lowest common multiple of 972,972,576,939 is 4867776.
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 972 x 576 x 939 = 510999653376
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
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
939 : 1, 3, 313, 939
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,972,576,939, is 3.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
972:2x 2x 3x 3x 3x 3x 3
576:2x 2x 2x 2x 2x 2x 3x 3
939:3x 313
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 3x 3x 3x 3x 3x 3x 3 = 34992
Therefore, the value for common factors is 34992.
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 = 510999653376/(3x34992)
LCM = 510999653376/104976
LCM = 4867776
Thus, we can understand that the LCM of 972,972,576,939 is 4867776.
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FAQs on LCM of 972, 972, 576, 939
1. What is the LCM of 972, 972, 576, 939?
Answer: LCM of 972, 972, 576, 939 is 4867776.
2. How to calculate the LCM of 972, 972, 576, 939?
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, 972, 576, 939.
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}.