LCM of 792, 782, 911, 652, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 782, 911, 652, 408 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, 782, 911, 652, 408. So, keep reading to learn more.
Given numbers are 792,782,911,652,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,782,911,652,408 is 45984124296.
Find LCM of 792,782,911,652,408 with Prime Factorization
| 2 | 792, 782, 911, 652, 408 |
| 2 | 396, 391, 911, 326, 204 |
| 2 | 198, 391, 911, 163, 102 |
| 3 | 99, 391, 911, 163, 51 |
| 17 | 33, 391, 911, 163, 17 |
| 33, 23, 911, 163, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 33 x 23 x 911 x 163 x 1 = 45984124296
Therefore, the lowest common multiple of 792,782,911,652,408 is 45984124296.
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 782 x 911 x 652 x 408 = 150092181702144
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
782 : 1, 2, 17, 23, 34, 46, 391, 782
911 : 1, 911
652 : 1, 2, 4, 163, 326, 652
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,782,911,652,408, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
782:2x 17x 23
911:911
652:2x 2x 163
408:2x 2x 2x 3x 17
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 17 = 3264
Therefore, the value for common factors is 3264.
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 = 150092181702144/(1x3264)
LCM = 150092181702144/3264
LCM = 45984124296
Thus, we can understand that the LCM of 792,782,911,652,408 is 45984124296.
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FAQs on LCM of 792, 782, 911, 652, 408
1. What is the LCM of 792, 782, 911, 652, 408?
Answer: LCM of 792, 782, 911, 652, 408 is 45984124296.
2. How to calculate the LCM of 792, 782, 911, 652, 408?
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, 782, 911, 652, 408.
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}.