LCM of 38, 71, 18, 91, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 38, 71, 18, 91, 923 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 38, 71, 18, 91, 923. So, keep reading to learn more.
Given numbers are 38,71,18,91,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 38,71,18,91,923 is 2209662.
Find LCM of 38,71,18,91,923 with Prime Factorization
| 2 | 38, 71, 18, 91, 923 |
| 13 | 19, 71, 9, 91, 923 |
| 71 | 19, 71, 9, 7, 71 |
| 19, 1, 9, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 71 x 19 x 1 x 9 x 7 x 1 = 2209662
Therefore, the lowest common multiple of 38,71,18,91,923 is 2209662.
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.
38 x 71 x 18 x 91 x 923 = 4079036052
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.
38 : 1, 2, 19, 38
71 : 1, 71
18 : 1, 2, 3, 6, 9, 18
91 : 1, 7, 13, 91
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 38,71,18,91,923, is 1.
Now, the common factors can be found like this.
38:2x 19
71:71
18:2x 3x 3
91:7x 13
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 71 = 1846
Therefore, the value for common factors is 1846.
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 = 4079036052/(1x1846)
LCM = 4079036052/1846
LCM = 2209662
Thus, we can understand that the LCM of 38,71,18,91,923 is 2209662.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 38, 71, 18, 91, 923
1. What is the LCM of 38, 71, 18, 91, 923?
Answer: LCM of 38, 71, 18, 91, 923 is 2209662.
2. How to calculate the LCM of 38, 71, 18, 91, 923?
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 38, 71, 18, 91, 923.
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}.