LCM of 675, 212, 960, 654
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 675, 212, 960, 654 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 675, 212, 960, 654. So, keep reading to learn more.
Given numbers are 675,212,960,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 675,212,960,654 is 249566400.
Find LCM of 675,212,960,654 with Prime Factorization
| 2 | 675, 212, 960, 654 |
| 2 | 675, 106, 480, 327 |
| 3 | 675, 53, 240, 327 |
| 5 | 225, 53, 80, 109 |
| 45, 53, 16, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 45 x 53 x 16 x 109 = 249566400
Therefore, the lowest common multiple of 675,212,960,654 is 249566400.
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.
675 x 212 x 960 x 654 = 89843904000
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.
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
212 : 1, 2, 4, 53, 106, 212
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,212,960,654, is 1.
Now, the common factors can be found like this.
675:3x 3x 3x 5x 5
212:2x 2x 53
960:2x 2x 2x 2x 2x 2x 3x 5
654:2x 3x 109
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 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 89843904000/(1x360)
LCM = 89843904000/360
LCM = 249566400
Thus, we can understand that the LCM of 675,212,960,654 is 249566400.
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FAQs on LCM of 675, 212, 960, 654
1. What is the LCM of 675, 212, 960, 654?
Answer: LCM of 675, 212, 960, 654 is 249566400.
2. How to calculate the LCM of 675, 212, 960, 654?
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 675, 212, 960, 654.
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}.