LCM of 822, 988, 548, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 988, 548, 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 822, 988, 548, 310. So, keep reading to learn more.
Given numbers are 822,988,548,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,988,548,310 is 62940540.
Find LCM of 822,988,548,310 with Prime Factorization
| 2 | 822, 988, 548, 310 |
| 2 | 411, 494, 274, 155 |
| 137 | 411, 247, 137, 155 |
| 3, 247, 1, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 137 x 3 x 247 x 1 x 155 = 62940540
Therefore, the lowest common multiple of 822,988,548,310 is 62940540.
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 988 x 548 x 310 = 137965663680
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
548 : 1, 2, 4, 137, 274, 548
310 : 1, 2, 5, 10, 31, 62, 155, 310
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,988,548,310, is 2.
Now, the common factors can be found like this.
822:2x 3x 137
988:2x 2x 13x 19
548:2x 2x 137
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 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 = 137965663680/(2x1096)
LCM = 137965663680/2192
LCM = 62940540
Thus, we can understand that the LCM of 822,988,548,310 is 62940540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 988, 548, 310
1. What is the LCM of 822, 988, 548, 310?
Answer: LCM of 822, 988, 548, 310 is 62940540.
2. How to calculate the LCM of 822, 988, 548, 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 822, 988, 548, 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}.