LCM of 997, 742, 460, 322, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 997, 742, 460, 322, 138 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 997, 742, 460, 322, 138. So, keep reading to learn more.
Given numbers are 997,742,460,322,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 997,742,460,322,138 is 510444060.
Find LCM of 997,742,460,322,138 with Prime Factorization
| 2 | 997, 742, 460, 322, 138 |
| 7 | 997, 371, 230, 161, 69 |
| 23 | 997, 53, 230, 23, 69 |
| 997, 53, 10, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 997 x 53 x 10 x 1 x 3 = 510444060
Therefore, the lowest common multiple of 997,742,460,322,138 is 510444060.
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.
997 x 742 x 460 x 322 x 138 = 15121394833440
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.
997 : 1, 997
742 : 1, 2, 7, 14, 53, 106, 371, 742
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
322 : 1, 2, 7, 14, 23, 46, 161, 322
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,742,460,322,138, is 1.
Now, the common factors can be found like this.
997:997
742:2x 7x 53
460:2x 2x 5x 23
322:2x 7x 23
138:2x 3x 23
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 7x 23x 23 = 29624
Therefore, the value for common factors is 29624.
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 = 15121394833440/(1x29624)
LCM = 15121394833440/29624
LCM = 510444060
Thus, we can understand that the LCM of 997,742,460,322,138 is 510444060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 997, 742, 460, 322, 138
1. What is the LCM of 997, 742, 460, 322, 138?
Answer: LCM of 997, 742, 460, 322, 138 is 510444060.
2. How to calculate the LCM of 997, 742, 460, 322, 138?
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 997, 742, 460, 322, 138.
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}.