LCM of 792, 755, 687, 899, 467
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 755, 687, 899, 467 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, 755, 687, 899, 467. So, keep reading to learn more.
Given numbers are 792,755,687,899,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,755,687,899,467 is 57488925015720.
Find LCM of 792,755,687,899,467 with Prime Factorization
| 3 | 792, 755, 687, 899, 467 |
| 264, 755, 229, 899, 467 |
Multiply the prime numbers at the bottom and the left side.
3 x 264 x 755 x 229 x 899 x 467 = 57488925015720
Therefore, the lowest common multiple of 792,755,687,899,467 is 57488925015720.
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 755 x 687 x 899 x 467 = 172466775047160
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
755 : 1, 5, 151, 755
687 : 1, 3, 229, 687
899 : 1, 29, 31, 899
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,755,687,899,467, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
755:5x 151
687:3x 229
899:29x 31
467:467
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 172466775047160/(1x3)
LCM = 172466775047160/3
LCM = 57488925015720
Thus, we can understand that the LCM of 792,755,687,899,467 is 57488925015720.
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FAQs on LCM of 792, 755, 687, 899, 467
1. What is the LCM of 792, 755, 687, 899, 467?
Answer: LCM of 792, 755, 687, 899, 467 is 57488925015720.
2. How to calculate the LCM of 792, 755, 687, 899, 467?
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, 755, 687, 899, 467.
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}.