LCM of 805, 255, 969, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 805, 255, 969, 945 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 805, 255, 969, 945. So, keep reading to learn more.
Given numbers are 805,255,969,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,255,969,945 is 7020405.
Find LCM of 805,255,969,945 with Prime Factorization
| 3 | 805, 255, 969, 945 |
| 5 | 805, 85, 323, 315 |
| 7 | 161, 17, 323, 63 |
| 17 | 23, 17, 323, 9 |
| 23, 1, 19, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 17 x 23 x 1 x 19 x 9 = 7020405
Therefore, the lowest common multiple of 805,255,969,945 is 7020405.
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.
805 x 255 x 969 x 945 = 187971343875
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
255 : 1, 3, 5, 15, 17, 51, 85, 255
969 : 1, 3, 17, 19, 51, 57, 323, 969
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,255,969,945, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
255:3x 5x 17
969:3x 17x 19
945:3x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 7x 17 = 26775
Therefore, the value for common factors is 26775.
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 = 187971343875/(1x26775)
LCM = 187971343875/26775
LCM = 7020405
Thus, we can understand that the LCM of 805,255,969,945 is 7020405.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 805, 255, 969, 945
1. What is the LCM of 805, 255, 969, 945?
Answer: LCM of 805, 255, 969, 945 is 7020405.
2. How to calculate the LCM of 805, 255, 969, 945?
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 805, 255, 969, 945.
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}.