LCM of 792, 605, 604, 540, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 605, 604, 540, 847 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, 605, 604, 540, 847. So, keep reading to learn more.
Given numbers are 792,605,604,540,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,605,604,540,847 is 138128760.
Find LCM of 792,605,604,540,847 with Prime Factorization
| 2 | 792, 605, 604, 540, 847 |
| 2 | 396, 605, 302, 270, 847 |
| 3 | 198, 605, 151, 135, 847 |
| 3 | 66, 605, 151, 45, 847 |
| 5 | 22, 605, 151, 15, 847 |
| 11 | 22, 121, 151, 3, 847 |
| 11 | 2, 11, 151, 3, 77 |
| 2, 1, 151, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 11 x 11 x 2 x 1 x 151 x 3 x 7 = 138128760
Therefore, the lowest common multiple of 792,605,604,540,847 is 138128760.
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 605 x 604 x 540 x 847 = 132371553283200
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
605 : 1, 5, 11, 55, 121, 605
604 : 1, 2, 4, 151, 302, 604
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,605,604,540,847, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
605:5x 11x 11
604:2x 2x 151
540:2x 2x 3x 3x 3x 5
847:7x 11x 11
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 5x 11x 11x 11 = 958320
Therefore, the value for common factors is 958320.
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 = 132371553283200/(1x958320)
LCM = 132371553283200/958320
LCM = 138128760
Thus, we can understand that the LCM of 792,605,604,540,847 is 138128760.
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FAQs on LCM of 792, 605, 604, 540, 847
1. What is the LCM of 792, 605, 604, 540, 847?
Answer: LCM of 792, 605, 604, 540, 847 is 138128760.
2. How to calculate the LCM of 792, 605, 604, 540, 847?
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, 605, 604, 540, 847.
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}.