LCM of 864, 751, 966, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 864, 751, 966, 312 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 864, 751, 966, 312. So, keep reading to learn more.
Given numbers are 864,751,966,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,751,966,312 is 1358072352.
Find LCM of 864,751,966,312 with Prime Factorization
| 2 | 864, 751, 966, 312 |
| 2 | 432, 751, 483, 156 |
| 2 | 216, 751, 483, 78 |
| 3 | 108, 751, 483, 39 |
| 36, 751, 161, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 36 x 751 x 161 x 13 = 1358072352
Therefore, the lowest common multiple of 864,751,966,312 is 1358072352.
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.
864 x 751 x 966 x 312 = 195562418688
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.
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
751 : 1, 751
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,751,966,312, is 1.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
751:751
966:2x 3x 7x 23
312:2x 2x 2x 3x 13
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 3 = 144
Therefore, the value for common factors is 144.
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 = 195562418688/(1x144)
LCM = 195562418688/144
LCM = 1358072352
Thus, we can understand that the LCM of 864,751,966,312 is 1358072352.
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FAQs on LCM of 864, 751, 966, 312
1. What is the LCM of 864, 751, 966, 312?
Answer: LCM of 864, 751, 966, 312 is 1358072352.
2. How to calculate the LCM of 864, 751, 966, 312?
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 864, 751, 966, 312.
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}.