LCM of 283, 105, 224, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 283, 105, 224, 385 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 283, 105, 224, 385. So, keep reading to learn more.
Given numbers are 283,105,224,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,105,224,385 is 10459680.
Find LCM of 283,105,224,385 with Prime Factorization
| 5 | 283, 105, 224, 385 |
| 7 | 283, 21, 224, 77 |
| 283, 3, 32, 11 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 283 x 3 x 32 x 11 = 10459680
Therefore, the lowest common multiple of 283,105,224,385 is 10459680.
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.
283 x 105 x 224 x 385 = 2562621600
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.
283 : 1, 283
105 : 1, 3, 5, 7, 15, 21, 35, 105
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,105,224,385, is 1.
Now, the common factors can be found like this.
283:283
105:3x 5x 7
224:2x 2x 2x 2x 2x 7
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 7 = 245
Therefore, the value for common factors is 245.
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 = 2562621600/(1x245)
LCM = 2562621600/245
LCM = 10459680
Thus, we can understand that the LCM of 283,105,224,385 is 10459680.
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FAQs on LCM of 283, 105, 224, 385
1. What is the LCM of 283, 105, 224, 385?
Answer: LCM of 283, 105, 224, 385 is 10459680.
2. How to calculate the LCM of 283, 105, 224, 385?
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 283, 105, 224, 385.
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}.