LCM of 963, 182, 946, 481, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 182, 946, 481, 723 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 963, 182, 946, 481, 723. So, keep reading to learn more.
Given numbers are 963,182,946,481,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,182,946,481,723 is 739226594106.
Find LCM of 963,182,946,481,723 with Prime Factorization
| 2 | 963, 182, 946, 481, 723 |
| 3 | 963, 91, 473, 481, 723 |
| 13 | 321, 91, 473, 481, 241 |
| 321, 7, 473, 37, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 321 x 7 x 473 x 37 x 241 = 739226594106
Therefore, the lowest common multiple of 963,182,946,481,723 is 739226594106.
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.
963 x 182 x 946 x 481 x 723 = 57659674340268
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.
963 : 1, 3, 9, 107, 321, 963
182 : 1, 2, 7, 13, 14, 26, 91, 182
946 : 1, 2, 11, 22, 43, 86, 473, 946
481 : 1, 13, 37, 481
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,182,946,481,723, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
182:2x 7x 13
946:2x 11x 43
481:13x 37
723:3x 241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13 = 78
Therefore, the value for common factors is 78.
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 = 57659674340268/(1x78)
LCM = 57659674340268/78
LCM = 739226594106
Thus, we can understand that the LCM of 963,182,946,481,723 is 739226594106.
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FAQs on LCM of 963, 182, 946, 481, 723
1. What is the LCM of 963, 182, 946, 481, 723?
Answer: LCM of 963, 182, 946, 481, 723 is 739226594106.
2. How to calculate the LCM of 963, 182, 946, 481, 723?
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 963, 182, 946, 481, 723.
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}.