LCM of 984, 528, 485, 264, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 528, 485, 264, 264 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 984, 528, 485, 264, 264. So, keep reading to learn more.
Given numbers are 984,528,485,264,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,528,485,264,264 is 10499280.
Find LCM of 984,528,485,264,264 with Prime Factorization
| 2 | 984, 528, 485, 264, 264 |
| 2 | 492, 264, 485, 132, 132 |
| 2 | 246, 66, 485, 66, 132 |
| 3 | 123, 33, 485, 33, 66 |
| 11 | 41, 11, 485, 11, 22 |
| 41, 1, 485, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 41 x 1 x 485 x 1 x 2 = 10499280
Therefore, the lowest common multiple of 984,528,485,264,264 is 10499280.
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.
984 x 528 x 485 x 264 x 264 = 17562187653120
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
485 : 1, 5, 97, 485
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,528,485,264,264, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
528:2x 2x 2x 2x 3x 11
485:5x 97
264:2x 2x 2x 3x 11
264:2x 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 2x 2x 2x 2x 2x 2x 3x 3x 3x 11x 11 = 1672704
Therefore, the value for common factors is 1672704.
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 = 17562187653120/(1x1672704)
LCM = 17562187653120/1672704
LCM = 10499280
Thus, we can understand that the LCM of 984,528,485,264,264 is 10499280.
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FAQs on LCM of 984, 528, 485, 264, 264
1. What is the LCM of 984, 528, 485, 264, 264?
Answer: LCM of 984, 528, 485, 264, 264 is 10499280.
2. How to calculate the LCM of 984, 528, 485, 264, 264?
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 984, 528, 485, 264, 264.
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}.