LCM of 792, 216, 867, 476, 706
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 216, 867, 476, 706 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, 216, 867, 476, 706. So, keep reading to learn more.
Given numbers are 792,216,867,476,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,216,867,476,706 is 1696746744.
Find LCM of 792,216,867,476,706 with Prime Factorization
| 2 | 792, 216, 867, 476, 706 |
| 2 | 396, 108, 867, 238, 353 |
| 2 | 198, 54, 867, 119, 353 |
| 3 | 99, 27, 867, 119, 353 |
| 3 | 33, 9, 289, 119, 353 |
| 17 | 11, 3, 289, 119, 353 |
| 11, 3, 17, 7, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 17 x 11 x 3 x 17 x 7 x 353 = 1696746744
Therefore, the lowest common multiple of 792,216,867,476,706 is 1696746744.
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 216 x 867 x 476 x 706 = 49843632351744
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
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
867 : 1, 3, 17, 51, 289, 867
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,216,867,476,706, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
216:2x 2x 2x 3x 3x 3
867:3x 17x 17
476:2x 2x 7x 17
706:2x 353
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 3x 3x 3x 17 = 29376
Therefore, the value for common factors is 29376.
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 = 49843632351744/(1x29376)
LCM = 49843632351744/29376
LCM = 1696746744
Thus, we can understand that the LCM of 792,216,867,476,706 is 1696746744.
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FAQs on LCM of 792, 216, 867, 476, 706
1. What is the LCM of 792, 216, 867, 476, 706?
Answer: LCM of 792, 216, 867, 476, 706 is 1696746744.
2. How to calculate the LCM of 792, 216, 867, 476, 706?
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, 216, 867, 476, 706.
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}.