LCM of 969, 662, 195, 956, 340
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 662, 195, 956, 340 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, 662, 195, 956, 340. So, keep reading to learn more.
Given numbers are 969,662,195,956,340
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,662,195,956,340 is 19930721460.
Find LCM of 969,662,195,956,340 with Prime Factorization
| 2 | 969, 662, 195, 956, 340 |
| 2 | 969, 331, 195, 478, 170 |
| 3 | 969, 331, 195, 239, 85 |
| 5 | 323, 331, 65, 239, 85 |
| 17 | 323, 331, 13, 239, 17 |
| 19, 331, 13, 239, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 19 x 331 x 13 x 239 x 1 = 19930721460
Therefore, the lowest common multiple of 969,662,195,956,340 is 19930721460.
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 662 x 195 x 956 x 340 = 40658671778400
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
662 : 1, 2, 331, 662
195 : 1, 3, 5, 13, 15, 39, 65, 195
956 : 1, 2, 4, 239, 478, 956
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,662,195,956,340, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
662:2x 331
195:3x 5x 13
956:2x 2x 239
340:2x 2x 5x 17
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 5x 17 = 2040
Therefore, the value for common factors is 2040.
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 = 40658671778400/(1x2040)
LCM = 40658671778400/2040
LCM = 19930721460
Thus, we can understand that the LCM of 969,662,195,956,340 is 19930721460.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 969, 662, 195, 956, 340
1. What is the LCM of 969, 662, 195, 956, 340?
Answer: LCM of 969, 662, 195, 956, 340 is 19930721460.
2. How to calculate the LCM of 969, 662, 195, 956, 340?
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, 662, 195, 956, 340.
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}.