LCM of 796, 280, 214, 321, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 280, 214, 321, 310 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, 280, 214, 321, 310. So, keep reading to learn more.
Given numbers are 796,280,214,321,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,280,214,321,310 is 554469720.
Find LCM of 796,280,214,321,310 with Prime Factorization
| 2 | 796, 280, 214, 321, 310 |
| 2 | 398, 140, 107, 321, 155 |
| 5 | 199, 70, 107, 321, 155 |
| 107 | 199, 14, 107, 321, 31 |
| 199, 14, 1, 3, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 107 x 199 x 14 x 1 x 3 x 31 = 554469720
Therefore, the lowest common multiple of 796,280,214,321,310 is 554469720.
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 280 x 214 x 321 x 310 = 4746260803200
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
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
214 : 1, 2, 107, 214
321 : 1, 3, 107, 321
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,280,214,321,310, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
280:2x 2x 2x 5x 7
214:2x 107
321:3x 107
310:2x 5x 31
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 107 = 8560
Therefore, the value for common factors is 8560.
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 = 4746260803200/(1x8560)
LCM = 4746260803200/8560
LCM = 554469720
Thus, we can understand that the LCM of 796,280,214,321,310 is 554469720.
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FAQs on LCM of 796, 280, 214, 321, 310
1. What is the LCM of 796, 280, 214, 321, 310?
Answer: LCM of 796, 280, 214, 321, 310 is 554469720.
2. How to calculate the LCM of 796, 280, 214, 321, 310?
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, 280, 214, 321, 310.
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}.