LCM of 796, 120, 715, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 120, 715, 684 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 796, 120, 715, 684. So, keep reading to learn more.
Given numbers are 796,120,715,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,120,715,684 is 194645880.
Find LCM of 796,120,715,684 with Prime Factorization
| 2 | 796, 120, 715, 684 |
| 2 | 398, 60, 715, 342 |
| 3 | 199, 30, 715, 171 |
| 5 | 199, 10, 715, 57 |
| 199, 2, 143, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 199 x 2 x 143 x 57 = 194645880
Therefore, the lowest common multiple of 796,120,715,684 is 194645880.
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.
796 x 120 x 715 x 684 = 46715011200
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.
796 : 1, 2, 4, 199, 398, 796
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
715 : 1, 5, 11, 13, 55, 65, 143, 715
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,120,715,684, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
120:2x 2x 2x 3x 5
715:5x 11x 13
684:2x 2x 3x 3x 19
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 5 = 240
Therefore, the value for common factors is 240.
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 = 46715011200/(1x240)
LCM = 46715011200/240
LCM = 194645880
Thus, we can understand that the LCM of 796,120,715,684 is 194645880.
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FAQs on LCM of 796, 120, 715, 684
1. What is the LCM of 796, 120, 715, 684?
Answer: LCM of 796, 120, 715, 684 is 194645880.
2. How to calculate the LCM of 796, 120, 715, 684?
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 796, 120, 715, 684.
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}.