LCM of 212, 583, 528, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 212, 583, 528, 225 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 212, 583, 528, 225. So, keep reading to learn more.
Given numbers are 212,583,528,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,583,528,225 is 2098800.
Find LCM of 212,583,528,225 with Prime Factorization
| 2 | 212, 583, 528, 225 |
| 2 | 106, 583, 264, 225 |
| 3 | 53, 583, 132, 225 |
| 11 | 53, 583, 44, 75 |
| 53 | 53, 53, 4, 75 |
| 1, 1, 4, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 53 x 1 x 1 x 4 x 75 = 2098800
Therefore, the lowest common multiple of 212,583,528,225 is 2098800.
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.
212 x 583 x 528 x 225 = 14683204800
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.
212 : 1, 2, 4, 53, 106, 212
583 : 1, 11, 53, 583
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,583,528,225, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
583:11x 53
528:2x 2x 2x 2x 3x 11
225:3x 3x 5x 5
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 11x 53 = 6996
Therefore, the value for common factors is 6996.
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 = 14683204800/(1x6996)
LCM = 14683204800/6996
LCM = 2098800
Thus, we can understand that the LCM of 212,583,528,225 is 2098800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 212, 583, 528, 225
1. What is the LCM of 212, 583, 528, 225?
Answer: LCM of 212, 583, 528, 225 is 2098800.
2. How to calculate the LCM of 212, 583, 528, 225?
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 212, 583, 528, 225.
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}.