LCM of 321, 969, 972, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 969, 972, 936 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 321, 969, 972, 936. So, keep reading to learn more.
Given numbers are 321,969,972,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,969,972,936 is 873425592.
Find LCM of 321,969,972,936 with Prime Factorization
| 2 | 321, 969, 972, 936 |
| 2 | 321, 969, 486, 468 |
| 3 | 321, 969, 243, 234 |
| 3 | 107, 323, 81, 78 |
| 107, 323, 27, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 107 x 323 x 27 x 26 = 873425592
Therefore, the lowest common multiple of 321,969,972,936 is 873425592.
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.
321 x 969 x 972 x 936 = 282989891808
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.
321 : 1, 3, 107, 321
969 : 1, 3, 17, 19, 51, 57, 323, 969
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,969,972,936, is 3.
Now, the common factors can be found like this.
321:3x 107
969:3x 17x 19
972:2x 2x 3x 3x 3x 3x 3
936:2x 2x 2x 3x 3x 13
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 282989891808/(3x108)
LCM = 282989891808/324
LCM = 873425592
Thus, we can understand that the LCM of 321,969,972,936 is 873425592.
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FAQs on LCM of 321, 969, 972, 936
1. What is the LCM of 321, 969, 972, 936?
Answer: LCM of 321, 969, 972, 936 is 873425592.
2. How to calculate the LCM of 321, 969, 972, 936?
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 321, 969, 972, 936.
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}.