LCM of 264, 360, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 360, 528 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 264, 360, 528. So, keep reading to learn more.
Given numbers are 264,360,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,360,528 is 7920.
Find LCM of 264,360,528 with Prime Factorization
| 2 | 264, 360, 528 |
| 2 | 132, 180, 264 |
| 2 | 66, 90, 132 |
| 3 | 33, 45, 66 |
| 11 | 11, 15, 22 |
| 1, 15, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 1 x 15 x 2 = 7920
Therefore, the lowest common multiple of 264,360,528 is 7920.
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.
264 x 360 x 528 = 50181120
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
24 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,360,528, is 24.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
360:2x 2x 2x 3x 3x 5
528:2x 2x 2x 2x 3x 11
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 50181120/(24x264)
LCM = 50181120/6336
LCM = 7920
Thus, we can understand that the LCM of 264,360,528 is 7920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 264, 360, 528
1. What is the LCM of 264, 360, 528?
Answer: LCM of 264, 360, 528 is 7920.
2. How to calculate the LCM of 264, 360, 528?
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 264, 360, 528.
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}.