LCM of 683, 150, 225, 280, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 683, 150, 225, 280, 966 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 683, 150, 225, 280, 966. So, keep reading to learn more.
Given numbers are 683,150,225,280,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 683,150,225,280,966 is 197933400.
Find LCM of 683,150,225,280,966 with Prime Factorization
| 2 | 683, 150, 225, 280, 966 |
| 3 | 683, 75, 225, 140, 483 |
| 5 | 683, 25, 75, 140, 161 |
| 5 | 683, 5, 15, 28, 161 |
| 7 | 683, 1, 3, 28, 161 |
| 683, 1, 3, 4, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 7 x 683 x 1 x 3 x 4 x 23 = 197933400
Therefore, the lowest common multiple of 683,150,225,280,966 is 197933400.
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.
683 x 150 x 225 x 280 x 966 = 6234902100000
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.
683 : 1, 683
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,150,225,280,966, is 1.
Now, the common factors can be found like this.
683:683
150:2x 3x 5x 5
225:3x 3x 5x 5
280:2x 2x 2x 5x 7
966:2x 3x 7x 23
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 3x 5x 5x 5x 7 = 31500
Therefore, the value for common factors is 31500.
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 = 6234902100000/(1x31500)
LCM = 6234902100000/31500
LCM = 197933400
Thus, we can understand that the LCM of 683,150,225,280,966 is 197933400.
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FAQs on LCM of 683, 150, 225, 280, 966
1. What is the LCM of 683, 150, 225, 280, 966?
Answer: LCM of 683, 150, 225, 280, 966 is 197933400.
2. How to calculate the LCM of 683, 150, 225, 280, 966?
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 683, 150, 225, 280, 966.
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}.