LCM of 548, 264, 735, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 548, 264, 735, 822 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 548, 264, 735, 822. So, keep reading to learn more.
Given numbers are 548,264,735,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,264,735,822 is 8861160.
Find LCM of 548,264,735,822 with Prime Factorization
| 2 | 548, 264, 735, 822 |
| 2 | 274, 132, 735, 411 |
| 3 | 137, 66, 735, 411 |
| 137 | 137, 22, 245, 137 |
| 1, 22, 245, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 137 x 1 x 22 x 245 x 1 = 8861160
Therefore, the lowest common multiple of 548,264,735,822 is 8861160.
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.
548 x 264 x 735 x 822 = 87406482240
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.
548 : 1, 2, 4, 137, 274, 548
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,264,735,822, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
264:2x 2x 2x 3x 11
735:3x 5x 7x 7
822:2x 3x 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 3x 3x 137 = 9864
Therefore, the value for common factors is 9864.
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 = 87406482240/(1x9864)
LCM = 87406482240/9864
LCM = 8861160
Thus, we can understand that the LCM of 548,264,735,822 is 8861160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 548, 264, 735, 822
1. What is the LCM of 548, 264, 735, 822?
Answer: LCM of 548, 264, 735, 822 is 8861160.
2. How to calculate the LCM of 548, 264, 735, 822?
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 548, 264, 735, 822.
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}.