LCM of 612, 112, 750, 446, 838
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 112, 750, 446, 838 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 612, 112, 750, 446, 838. So, keep reading to learn more.
Given numbers are 612,112,750,446,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,112,750,446,838 is 200142054000.
Find LCM of 612,112,750,446,838 with Prime Factorization
| 2 | 612, 112, 750, 446, 838 |
| 2 | 306, 56, 375, 223, 419 |
| 3 | 153, 28, 375, 223, 419 |
| 51, 28, 125, 223, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 51 x 28 x 125 x 223 x 419 = 200142054000
Therefore, the lowest common multiple of 612,112,750,446,838 is 200142054000.
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.
612 x 112 x 750 x 446 x 838 = 19213637184000
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
446 : 1, 2, 223, 446
838 : 1, 2, 419, 838
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,112,750,446,838, is 2.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
112:2x 2x 2x 2x 7
750:2x 3x 5x 5x 5
446:2x 223
838:2x 419
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 3 = 48
Therefore, the value for common factors is 48.
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 = 19213637184000/(2x48)
LCM = 19213637184000/96
LCM = 200142054000
Thus, we can understand that the LCM of 612,112,750,446,838 is 200142054000.
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FAQs on LCM of 612, 112, 750, 446, 838
1. What is the LCM of 612, 112, 750, 446, 838?
Answer: LCM of 612, 112, 750, 446, 838 is 200142054000.
2. How to calculate the LCM of 612, 112, 750, 446, 838?
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 612, 112, 750, 446, 838.
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}.