LCM of 964, 264, 704, 718
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 264, 704, 718 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 964, 264, 704, 718. So, keep reading to learn more.
Given numbers are 964,264,704,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,264,704,718 is 182728128.
Find LCM of 964,264,704,718 with Prime Factorization
| 2 | 964, 264, 704, 718 |
| 2 | 482, 132, 352, 359 |
| 2 | 241, 66, 176, 359 |
| 11 | 241, 33, 88, 359 |
| 241, 3, 8, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 241 x 3 x 8 x 359 = 182728128
Therefore, the lowest common multiple of 964,264,704,718 is 182728128.
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.
964 x 264 x 704 x 718 = 128640602112
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.
964 : 1, 2, 4, 241, 482, 964
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
718 : 1, 2, 359, 718
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,264,704,718, is 2.
Now, the common factors can be found like this.
964:2x 2x 241
264:2x 2x 2x 3x 11
704:2x 2x 2x 2x 2x 2x 11
718:2x 359
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 11 = 352
Therefore, the value for common factors is 352.
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 = 128640602112/(2x352)
LCM = 128640602112/704
LCM = 182728128
Thus, we can understand that the LCM of 964,264,704,718 is 182728128.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 264, 704, 718
1. What is the LCM of 964, 264, 704, 718?
Answer: LCM of 964, 264, 704, 718 is 182728128.
2. How to calculate the LCM of 964, 264, 704, 718?
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 964, 264, 704, 718.
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}.