LCM of 112, 600, 945, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 600, 945, 682 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, 600, 945, 682. So, keep reading to learn more.
Given numbers are 112,600,945,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,600,945,682 is 25779600.
Find LCM of 112,600,945,682 with Prime Factorization
| 2 | 112, 600, 945, 682 |
| 2 | 56, 300, 945, 341 |
| 2 | 28, 150, 945, 341 |
| 3 | 14, 75, 945, 341 |
| 5 | 14, 25, 315, 341 |
| 7 | 14, 5, 63, 341 |
| 2, 5, 9, 341 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 2 x 5 x 9 x 341 = 25779600
Therefore, the lowest common multiple of 112,600,945,682 is 25779600.
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 600 x 945 x 682 = 43309728000
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
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,600,945,682, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
600:2x 2x 2x 3x 5x 5
945:3x 3x 3x 5x 7
682:2x 11x 31
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 3x 5x 7 = 1680
Therefore, the value for common factors is 1680.
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 = 43309728000/(1x1680)
LCM = 43309728000/1680
LCM = 25779600
Thus, we can understand that the LCM of 112,600,945,682 is 25779600.
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FAQs on LCM of 112, 600, 945, 682
1. What is the LCM of 112, 600, 945, 682?
Answer: LCM of 112, 600, 945, 682 is 25779600.
2. How to calculate the LCM of 112, 600, 945, 682?
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, 600, 945, 682.
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}.