LCM of 450, 111, 303, 347, 844
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 450, 111, 303, 347, 844 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 450, 111, 303, 347, 844. So, keep reading to learn more.
Given numbers are 450,111,303,347,844
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 450,111,303,347,844 is 246250736100.
Find LCM of 450,111,303,347,844 with Prime Factorization
| 2 | 450, 111, 303, 347, 844 |
| 3 | 225, 111, 303, 347, 422 |
| 75, 37, 101, 347, 422 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 75 x 37 x 101 x 347 x 422 = 246250736100
Therefore, the lowest common multiple of 450,111,303,347,844 is 246250736100.
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.
450 x 111 x 303 x 347 x 844 = 4432513249800
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.
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
111 : 1, 3, 37, 111
303 : 1, 3, 101, 303
347 : 1, 347
844 : 1, 2, 4, 211, 422, 844
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,111,303,347,844, is 1.
Now, the common factors can be found like this.
450:2x 3x 3x 5x 5
111:3x 37
303:3x 101
347:347
844:2x 2x 211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 4432513249800/(1x18)
LCM = 4432513249800/18
LCM = 246250736100
Thus, we can understand that the LCM of 450,111,303,347,844 is 246250736100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 450, 111, 303, 347, 844
1. What is the LCM of 450, 111, 303, 347, 844?
Answer: LCM of 450, 111, 303, 347, 844 is 246250736100.
2. How to calculate the LCM of 450, 111, 303, 347, 844?
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 450, 111, 303, 347, 844.
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}.