LCM of 768, 675, 962, 946, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 675, 962, 946, 306 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 768, 675, 962, 946, 306. So, keep reading to learn more.
Given numbers are 768,675,962,946,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,675,962,946,306 is 668342188800.
Find LCM of 768,675,962,946,306 with Prime Factorization
| 2 | 768, 675, 962, 946, 306 |
| 3 | 384, 675, 481, 473, 153 |
| 3 | 128, 225, 481, 473, 51 |
| 128, 75, 481, 473, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 128 x 75 x 481 x 473 x 17 = 668342188800
Therefore, the lowest common multiple of 768,675,962,946,306 is 668342188800.
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.
768 x 675 x 962 x 946 x 306 = 144361912780800
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
962 : 1, 2, 13, 26, 37, 74, 481, 962
946 : 1, 2, 11, 22, 43, 86, 473, 946
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,675,962,946,306, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
675:3x 3x 3x 5x 5
962:2x 13x 37
946:2x 11x 43
306:2x 3x 3x 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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 144361912780800/(1x216)
LCM = 144361912780800/216
LCM = 668342188800
Thus, we can understand that the LCM of 768,675,962,946,306 is 668342188800.
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FAQs on LCM of 768, 675, 962, 946, 306
1. What is the LCM of 768, 675, 962, 946, 306?
Answer: LCM of 768, 675, 962, 946, 306 is 668342188800.
2. How to calculate the LCM of 768, 675, 962, 946, 306?
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 768, 675, 962, 946, 306.
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}.