LCM of 822, 310, 275, 734, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 310, 275, 734, 286 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 822, 310, 275, 734, 286. So, keep reading to learn more.
Given numbers are 822,310,275,734,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,310,275,734,286 is 33433021050.
Find LCM of 822,310,275,734,286 with Prime Factorization
| 2 | 822, 310, 275, 734, 286 |
| 5 | 411, 155, 275, 367, 143 |
| 11 | 411, 31, 55, 367, 143 |
| 411, 31, 5, 367, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 411 x 31 x 5 x 367 x 13 = 33433021050
Therefore, the lowest common multiple of 822,310,275,734,286 is 33433021050.
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.
822 x 310 x 275 x 734 x 286 = 14710529262000
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
310 : 1, 2, 5, 10, 31, 62, 155, 310
275 : 1, 5, 11, 25, 55, 275
734 : 1, 2, 367, 734
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,310,275,734,286, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
310:2x 5x 31
275:5x 5x 11
734:2x 367
286:2x 11x 13
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 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 14710529262000/(1x440)
LCM = 14710529262000/440
LCM = 33433021050
Thus, we can understand that the LCM of 822,310,275,734,286 is 33433021050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 310, 275, 734, 286
1. What is the LCM of 822, 310, 275, 734, 286?
Answer: LCM of 822, 310, 275, 734, 286 is 33433021050.
2. How to calculate the LCM of 822, 310, 275, 734, 286?
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 822, 310, 275, 734, 286.
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}.