LCM of 790, 260, 420, 796
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 790, 260, 420, 796 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 790, 260, 420, 796. So, keep reading to learn more.
Given numbers are 790,260,420,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 790,260,420,796 is 85836660.
Find LCM of 790,260,420,796 with Prime Factorization
| 2 | 790, 260, 420, 796 |
| 2 | 395, 130, 210, 398 |
| 5 | 395, 65, 105, 199 |
| 79, 13, 21, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 79 x 13 x 21 x 199 = 85836660
Therefore, the lowest common multiple of 790,260,420,796 is 85836660.
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.
790 x 260 x 420 x 796 = 68669328000
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.
790 : 1, 2, 5, 10, 79, 158, 395, 790
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
796 : 1, 2, 4, 199, 398, 796
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,260,420,796, is 2.
Now, the common factors can be found like this.
790:2x 5x 79
260:2x 2x 5x 13
420:2x 2x 3x 5x 7
796:2x 2x 199
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 5x 5 = 400
Therefore, the value for common factors is 400.
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 = 68669328000/(2x400)
LCM = 68669328000/800
LCM = 85836660
Thus, we can understand that the LCM of 790,260,420,796 is 85836660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 790, 260, 420, 796
1. What is the LCM of 790, 260, 420, 796?
Answer: LCM of 790, 260, 420, 796 is 85836660.
2. How to calculate the LCM of 790, 260, 420, 796?
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 790, 260, 420, 796.
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}.