LCM of 732, 561, 924, 608, 797
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 561, 924, 608, 797 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 732, 561, 924, 608, 797. So, keep reading to learn more.
Given numbers are 732,561,924,608,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,561,924,608,797 is 116078727072.
Find LCM of 732,561,924,608,797 with Prime Factorization
| 2 | 732, 561, 924, 608, 797 |
| 2 | 366, 561, 462, 304, 797 |
| 3 | 183, 561, 231, 152, 797 |
| 11 | 61, 187, 77, 152, 797 |
| 61, 17, 7, 152, 797 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 61 x 17 x 7 x 152 x 797 = 116078727072
Therefore, the lowest common multiple of 732,561,924,608,797 is 116078727072.
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.
732 x 561 x 924 x 608 x 797 = 183868703682048
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
561 : 1, 3, 11, 17, 33, 51, 187, 561
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,561,924,608,797, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
561:3x 11x 17
924:2x 2x 3x 7x 11
608:2x 2x 2x 2x 2x 19
797:797
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 11 = 1584
Therefore, the value for common factors is 1584.
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 = 183868703682048/(1x1584)
LCM = 183868703682048/1584
LCM = 116078727072
Thus, we can understand that the LCM of 732,561,924,608,797 is 116078727072.
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FAQs on LCM of 732, 561, 924, 608, 797
1. What is the LCM of 732, 561, 924, 608, 797?
Answer: LCM of 732, 561, 924, 608, 797 is 116078727072.
2. How to calculate the LCM of 732, 561, 924, 608, 797?
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 732, 561, 924, 608, 797.
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}.