LCM of 440, 964, 264, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 440, 964, 264, 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 440, 964, 264, 312. So, keep reading to learn more.
Given numbers are 440,964,264,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,964,264,312 is 4135560.
Find LCM of 440,964,264,312 with Prime Factorization
| 2 | 440, 964, 264, 312 |
| 2 | 220, 482, 132, 156 |
| 2 | 110, 241, 66, 78 |
| 3 | 55, 241, 33, 39 |
| 11 | 55, 241, 11, 13 |
| 5, 241, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 5 x 241 x 1 x 13 = 4135560
Therefore, the lowest common multiple of 440,964,264,312 is 4135560.
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.
440 x 964 x 264 x 312 = 34937210880
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.
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
964 : 1, 2, 4, 241, 482, 964
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,964,264,312, is 4.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
964:2x 2x 241
264:2x 2x 2x 3x 11
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 2x 2x 3x 11 = 2112
Therefore, the value for common factors is 2112.
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 = 34937210880/(4x2112)
LCM = 34937210880/8448
LCM = 4135560
Thus, we can understand that the LCM of 440,964,264,312 is 4135560.
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FAQs on LCM of 440, 964, 264, 312
1. What is the LCM of 440, 964, 264, 312?
Answer: LCM of 440, 964, 264, 312 is 4135560.
2. How to calculate the LCM of 440, 964, 264, 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 440, 964, 264, 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}.