LCM of 327, 270, 165, 966, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 327, 270, 165, 966, 752 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 327, 270, 165, 966, 752. So, keep reading to learn more.
Given numbers are 327,270,165,966,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,270,165,966,752 is 19597319280.
Find LCM of 327,270,165,966,752 with Prime Factorization
| 2 | 327, 270, 165, 966, 752 |
| 3 | 327, 135, 165, 483, 376 |
| 5 | 109, 45, 55, 161, 376 |
| 109, 9, 11, 161, 376 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 109 x 9 x 11 x 161 x 376 = 19597319280
Therefore, the lowest common multiple of 327,270,165,966,752 is 19597319280.
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.
327 x 270 x 165 x 966 x 752 = 10582552411200
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.
327 : 1, 3, 109, 327
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
165 : 1, 3, 5, 11, 15, 33, 55, 165
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,270,165,966,752, is 1.
Now, the common factors can be found like this.
327:3x 109
270:2x 3x 3x 3x 5
165:3x 5x 11
966:2x 3x 7x 23
752:2x 2x 2x 2x 47
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 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 10582552411200/(1x540)
LCM = 10582552411200/540
LCM = 19597319280
Thus, we can understand that the LCM of 327,270,165,966,752 is 19597319280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 327, 270, 165, 966, 752
1. What is the LCM of 327, 270, 165, 966, 752?
Answer: LCM of 327, 270, 165, 966, 752 is 19597319280.
2. How to calculate the LCM of 327, 270, 165, 966, 752?
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 327, 270, 165, 966, 752.
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}.