LCM of 528, 288, 811, 334, 509
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 528, 288, 811, 334, 509 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 528, 288, 811, 334, 509. So, keep reading to learn more.
Given numbers are 528,288,811,334,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,288,811,334,509 is 218393787744.
Find LCM of 528,288,811,334,509 with Prime Factorization
| 2 | 528, 288, 811, 334, 509 |
| 2 | 264, 144, 811, 167, 509 |
| 2 | 132, 72, 811, 167, 509 |
| 2 | 66, 36, 811, 167, 509 |
| 3 | 33, 18, 811, 167, 509 |
| 11, 6, 811, 167, 509 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 6 x 811 x 167 x 509 = 218393787744
Therefore, the lowest common multiple of 528,288,811,334,509 is 218393787744.
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.
528 x 288 x 811 x 334 x 509 = 20965803623424
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.
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
811 : 1, 811
334 : 1, 2, 167, 334
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,288,811,334,509, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
288:2x 2x 2x 2x 2x 3x 3
811:811
334:2x 167
509:509
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 3 = 96
Therefore, the value for common factors is 96.
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 = 20965803623424/(1x96)
LCM = 20965803623424/96
LCM = 218393787744
Thus, we can understand that the LCM of 528,288,811,334,509 is 218393787744.
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FAQs on LCM of 528, 288, 811, 334, 509
1. What is the LCM of 528, 288, 811, 334, 509?
Answer: LCM of 528, 288, 811, 334, 509 is 218393787744.
2. How to calculate the LCM of 528, 288, 811, 334, 509?
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 528, 288, 811, 334, 509.
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}.