LCM of 792, 387, 526, 312, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 387, 526, 312, 321 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, 387, 526, 312, 321. So, keep reading to learn more.
Given numbers are 792,387,526,312,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,387,526,312,321 is 12458808648.
Find LCM of 792,387,526,312,321 with Prime Factorization
| 2 | 792, 387, 526, 312, 321 |
| 2 | 396, 387, 263, 156, 321 |
| 2 | 198, 387, 263, 78, 321 |
| 3 | 99, 387, 263, 39, 321 |
| 3 | 33, 129, 263, 13, 107 |
| 11, 43, 263, 13, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 43 x 263 x 13 x 107 = 12458808648
Therefore, the lowest common multiple of 792,387,526,312,321 is 12458808648.
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 387 x 526 x 312 x 321 = 16146616007808
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
387 : 1, 3, 9, 43, 129, 387
526 : 1, 2, 263, 526
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,387,526,312,321, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
387:3x 3x 43
526:2x 263
312:2x 2x 2x 3x 13
321:3x 107
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 3 = 1296
Therefore, the value for common factors is 1296.
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 = 16146616007808/(1x1296)
LCM = 16146616007808/1296
LCM = 12458808648
Thus, we can understand that the LCM of 792,387,526,312,321 is 12458808648.
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FAQs on LCM of 792, 387, 526, 312, 321
1. What is the LCM of 792, 387, 526, 312, 321?
Answer: LCM of 792, 387, 526, 312, 321 is 12458808648.
2. How to calculate the LCM of 792, 387, 526, 312, 321?
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, 387, 526, 312, 321.
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}.