LCM of 966, 317, 723, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 317, 723, 964 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 966, 317, 723, 964. So, keep reading to learn more.
Given numbers are 966,317,723,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,317,723,964 is 147599004.
Find LCM of 966,317,723,964 with Prime Factorization
| 2 | 966, 317, 723, 964 |
| 3 | 483, 317, 723, 482 |
| 241 | 161, 317, 241, 482 |
| 161, 317, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 241 x 161 x 317 x 1 x 2 = 147599004
Therefore, the lowest common multiple of 966,317,723,964 is 147599004.
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.
966 x 317 x 723 x 964 = 213428159784
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.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
317 : 1, 317
723 : 1, 3, 241, 723
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,317,723,964, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
317:317
723:3x 241
964:2x 2x 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 241 = 1446
Therefore, the value for common factors is 1446.
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 = 213428159784/(1x1446)
LCM = 213428159784/1446
LCM = 147599004
Thus, we can understand that the LCM of 966,317,723,964 is 147599004.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 966, 317, 723, 964
1. What is the LCM of 966, 317, 723, 964?
Answer: LCM of 966, 317, 723, 964 is 147599004.
2. How to calculate the LCM of 966, 317, 723, 964?
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 966, 317, 723, 964.
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}.