LCM of 969, 548, 405, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 548, 405, 948 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 969, 548, 405, 948. So, keep reading to learn more.
Given numbers are 969,548,405,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,548,405,948 is 5663242980.
Find LCM of 969,548,405,948 with Prime Factorization
| 2 | 969, 548, 405, 948 |
| 2 | 969, 274, 405, 474 |
| 3 | 969, 137, 405, 237 |
| 323, 137, 135, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 323 x 137 x 135 x 79 = 5663242980
Therefore, the lowest common multiple of 969,548,405,948 is 5663242980.
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.
969 x 548 x 405 x 948 = 203876747280
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
548 : 1, 2, 4, 137, 274, 548
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,548,405,948, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
548:2x 2x 137
405:3x 3x 3x 3x 5
948:2x 2x 3x 79
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 203876747280/(1x36)
LCM = 203876747280/36
LCM = 5663242980
Thus, we can understand that the LCM of 969,548,405,948 is 5663242980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 969, 548, 405, 948
1. What is the LCM of 969, 548, 405, 948?
Answer: LCM of 969, 548, 405, 948 is 5663242980.
2. How to calculate the LCM of 969, 548, 405, 948?
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 969, 548, 405, 948.
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}.