LCM of 997, 498, 166, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 997, 498, 166, 506 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, 498, 166, 506. So, keep reading to learn more.
Given numbers are 997,498,166,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 997,498,166,506 is 125616018.
Find LCM of 997,498,166,506 with Prime Factorization
| 2 | 997, 498, 166, 506 |
| 83 | 997, 249, 83, 253 |
| 997, 3, 1, 253 |
Multiply the prime numbers at the bottom and the left side.
2 x 83 x 997 x 3 x 1 x 253 = 125616018
Therefore, the lowest common multiple of 997,498,166,506 is 125616018.
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 498 x 166 x 506 = 41704517976
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
498 : 1, 2, 3, 6, 83, 166, 249, 498
166 : 1, 2, 83, 166
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,498,166,506, is 1.
Now, the common factors can be found like this.
997:997
498:2x 3x 83
166:2x 83
506:2x 11x 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 83 = 332
Therefore, the value for common factors is 332.
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 = 41704517976/(1x332)
LCM = 41704517976/332
LCM = 125616018
Thus, we can understand that the LCM of 997,498,166,506 is 125616018.
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FAQs on LCM of 997, 498, 166, 506
1. What is the LCM of 997, 498, 166, 506?
Answer: LCM of 997, 498, 166, 506 is 125616018.
2. How to calculate the LCM of 997, 498, 166, 506?
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, 498, 166, 506.
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}.