LCM of 792, 296, 447, 856, 666
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 296, 447, 856, 666 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 792, 296, 447, 856, 666. So, keep reading to learn more.
Given numbers are 792,296,447,856,666
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,296,447,856,666 is 467193672.
Find LCM of 792,296,447,856,666 with Prime Factorization
| 2 | 792, 296, 447, 856, 666 |
| 2 | 396, 148, 447, 428, 333 |
| 2 | 198, 74, 447, 214, 333 |
| 3 | 99, 37, 447, 107, 333 |
| 3 | 33, 37, 149, 107, 111 |
| 37 | 11, 37, 149, 107, 37 |
| 11, 1, 149, 107, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 37 x 11 x 1 x 149 x 107 x 1 = 467193672
Therefore, the lowest common multiple of 792,296,447,856,666 is 467193672.
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.
792 x 296 x 447 x 856 x 666 = 59740989225984
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.
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
296 : 1, 2, 4, 8, 37, 74, 148, 296
447 : 1, 3, 149, 447
856 : 1, 2, 4, 8, 107, 214, 428, 856
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,296,447,856,666, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
296:2x 2x 2x 37
447:3x 149
856:2x 2x 2x 107
666:2x 3x 3x 37
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 2x 3x 3x 3x 37 = 127872
Therefore, the value for common factors is 127872.
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 = 59740989225984/(1x127872)
LCM = 59740989225984/127872
LCM = 467193672
Thus, we can understand that the LCM of 792,296,447,856,666 is 467193672.
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FAQs on LCM of 792, 296, 447, 856, 666
1. What is the LCM of 792, 296, 447, 856, 666?
Answer: LCM of 792, 296, 447, 856, 666 is 467193672.
2. How to calculate the LCM of 792, 296, 447, 856, 666?
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 792, 296, 447, 856, 666.
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}.