LCM of 238, 866, 344, 731, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 866, 344, 731, 140 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 238, 866, 344, 731, 140. So, keep reading to learn more.
Given numbers are 238,866,344,731,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,866,344,731,140 is 88626440.
Find LCM of 238,866,344,731,140 with Prime Factorization
| 2 | 238, 866, 344, 731, 140 |
| 2 | 119, 433, 172, 731, 70 |
| 7 | 119, 433, 86, 731, 35 |
| 17 | 17, 433, 86, 731, 5 |
| 43 | 1, 433, 86, 43, 5 |
| 1, 433, 2, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 43 x 1 x 433 x 2 x 1 x 5 = 88626440
Therefore, the lowest common multiple of 238,866,344,731,140 is 88626440.
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.
238 x 866 x 344 x 731 x 140 = 7256023895680
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.
238 : 1, 2, 7, 14, 17, 34, 119, 238
866 : 1, 2, 433, 866
344 : 1, 2, 4, 8, 43, 86, 172, 344
731 : 1, 17, 43, 731
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,866,344,731,140, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
866:2x 433
344:2x 2x 2x 43
731:17x 43
140:2x 2x 5x 7
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 7x 17x 43 = 81872
Therefore, the value for common factors is 81872.
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 = 7256023895680/(1x81872)
LCM = 7256023895680/81872
LCM = 88626440
Thus, we can understand that the LCM of 238,866,344,731,140 is 88626440.
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FAQs on LCM of 238, 866, 344, 731, 140
1. What is the LCM of 238, 866, 344, 731, 140?
Answer: LCM of 238, 866, 344, 731, 140 is 88626440.
2. How to calculate the LCM of 238, 866, 344, 731, 140?
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 238, 866, 344, 731, 140.
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}.