LCM of 247, 144, 239, 807, 333
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 144, 239, 807, 333 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 247, 144, 239, 807, 333. So, keep reading to learn more.
Given numbers are 247,144,239,807,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,144,239,807,333 is 84607984656.
Find LCM of 247,144,239,807,333 with Prime Factorization
| 3 | 247, 144, 239, 807, 333 |
| 3 | 247, 48, 239, 269, 111 |
| 247, 16, 239, 269, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 247 x 16 x 239 x 269 x 37 = 84607984656
Therefore, the lowest common multiple of 247,144,239,807,333 is 84607984656.
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.
247 x 144 x 239 x 807 x 333 = 2284415585712
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.
247 : 1, 13, 19, 247
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
239 : 1, 239
807 : 1, 3, 269, 807
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,144,239,807,333, is 1.
Now, the common factors can be found like this.
247:13x 19
144:2x 2x 2x 2x 3x 3
239:239
807:3x 269
333:3x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 2284415585712/(1x27)
LCM = 2284415585712/27
LCM = 84607984656
Thus, we can understand that the LCM of 247,144,239,807,333 is 84607984656.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 247, 144, 239, 807, 333
1. What is the LCM of 247, 144, 239, 807, 333?
Answer: LCM of 247, 144, 239, 807, 333 is 84607984656.
2. How to calculate the LCM of 247, 144, 239, 807, 333?
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 247, 144, 239, 807, 333.
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}.