LCM of 822, 280, 239, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 280, 239, 548 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, 280, 239, 548. So, keep reading to learn more.
Given numbers are 822,280,239,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,280,239,548 is 27504120.
Find LCM of 822,280,239,548 with Prime Factorization
| 2 | 822, 280, 239, 548 |
| 2 | 411, 140, 239, 274 |
| 137 | 411, 70, 239, 137 |
| 3, 70, 239, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 137 x 3 x 70 x 239 x 1 = 27504120
Therefore, the lowest common multiple of 822,280,239,548 is 27504120.
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 280 x 239 x 548 = 30144515520
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
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
239 : 1, 239
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,280,239,548, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
280:2x 2x 2x 5x 7
239:239
548:2x 2x 137
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 137 = 1096
Therefore, the value for common factors is 1096.
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 = 30144515520/(1x1096)
LCM = 30144515520/1096
LCM = 27504120
Thus, we can understand that the LCM of 822,280,239,548 is 27504120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 280, 239, 548
1. What is the LCM of 822, 280, 239, 548?
Answer: LCM of 822, 280, 239, 548 is 27504120.
2. How to calculate the LCM of 822, 280, 239, 548?
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, 280, 239, 548.
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}.