LCM of 112, 412, 209, 480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 412, 209, 480 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 112, 412, 209, 480. So, keep reading to learn more.
Given numbers are 112,412,209,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,412,209,480 is 72330720.
Find LCM of 112,412,209,480 with Prime Factorization
| 2 | 112, 412, 209, 480 |
| 2 | 56, 206, 209, 240 |
| 2 | 28, 103, 209, 120 |
| 2 | 14, 103, 209, 60 |
| 7, 103, 209, 30 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 103 x 209 x 30 = 72330720
Therefore, the lowest common multiple of 112,412,209,480 is 72330720.
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.
112 x 412 x 209 x 480 = 4629166080
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
412 : 1, 2, 4, 103, 206, 412
209 : 1, 11, 19, 209
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,412,209,480, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
412:2x 2x 103
209:11x 19
480:2x 2x 2x 2x 2x 3x 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 2x 2x 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 4629166080/(1x64)
LCM = 4629166080/64
LCM = 72330720
Thus, we can understand that the LCM of 112,412,209,480 is 72330720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 112, 412, 209, 480
1. What is the LCM of 112, 412, 209, 480?
Answer: LCM of 112, 412, 209, 480 is 72330720.
2. How to calculate the LCM of 112, 412, 209, 480?
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 112, 412, 209, 480.
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}.