LCM of 792, 693, 346, 517, 613
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 693, 346, 517, 613 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, 693, 346, 517, 613. So, keep reading to learn more.
Given numbers are 792,693,346,517,613
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,693,346,517,613 is 27632975832.
Find LCM of 792,693,346,517,613 with Prime Factorization
| 2 | 792, 693, 346, 517, 613 |
| 3 | 396, 693, 173, 517, 613 |
| 3 | 132, 231, 173, 517, 613 |
| 11 | 44, 77, 173, 517, 613 |
| 4, 7, 173, 47, 613 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 4 x 7 x 173 x 47 x 613 = 27632975832
Therefore, the lowest common multiple of 792,693,346,517,613 is 27632975832.
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 693 x 346 x 517 x 613 = 60184621362096
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
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
346 : 1, 2, 173, 346
517 : 1, 11, 47, 517
613 : 1, 613
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,693,346,517,613, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
693:3x 3x 7x 11
346:2x 173
517:11x 47
613:613
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 11 = 2178
Therefore, the value for common factors is 2178.
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 = 60184621362096/(1x2178)
LCM = 60184621362096/2178
LCM = 27632975832
Thus, we can understand that the LCM of 792,693,346,517,613 is 27632975832.
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FAQs on LCM of 792, 693, 346, 517, 613
1. What is the LCM of 792, 693, 346, 517, 613?
Answer: LCM of 792, 693, 346, 517, 613 is 27632975832.
2. How to calculate the LCM of 792, 693, 346, 517, 613?
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, 693, 346, 517, 613.
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}.