LCM of 956, 861, 770, 330, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 956, 861, 770, 330, 324 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 956, 861, 770, 330, 324. So, keep reading to learn more.
Given numbers are 956,861,770,330,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 956,861,770,330,324 is 1222327260.
Find LCM of 956,861,770,330,324 with Prime Factorization
| 2 | 956, 861, 770, 330, 324 |
| 2 | 478, 861, 385, 165, 162 |
| 3 | 239, 861, 385, 165, 81 |
| 5 | 239, 287, 385, 55, 27 |
| 7 | 239, 287, 77, 11, 27 |
| 11 | 239, 41, 11, 11, 27 |
| 239, 41, 1, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 239 x 41 x 1 x 1 x 27 = 1222327260
Therefore, the lowest common multiple of 956,861,770,330,324 is 1222327260.
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.
956 x 861 x 770 x 330 x 324 = 67765823294400
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.
956 : 1, 2, 4, 239, 478, 956
861 : 1, 3, 7, 21, 41, 123, 287, 861
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 956,861,770,330,324, is 1.
Now, the common factors can be found like this.
956:2x 2x 239
861:3x 7x 41
770:2x 5x 7x 11
330:2x 3x 5x 11
324:2x 2x 3x 3x 3x 3
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 2x 3x 3x 5x 7x 11 = 55440
Therefore, the value for common factors is 55440.
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 = 67765823294400/(1x55440)
LCM = 67765823294400/55440
LCM = 1222327260
Thus, we can understand that the LCM of 956,861,770,330,324 is 1222327260.
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FAQs on LCM of 956, 861, 770, 330, 324
1. What is the LCM of 956, 861, 770, 330, 324?
Answer: LCM of 956, 861, 770, 330, 324 is 1222327260.
2. How to calculate the LCM of 956, 861, 770, 330, 324?
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 956, 861, 770, 330, 324.
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}.