LCM of 997, 918, 529, 533, 529
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 997, 918, 529, 533, 529 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, 918, 529, 533, 529. So, keep reading to learn more.
Given numbers are 997,918,529,533,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 997,918,529,533,529 is 258060016422.
Find LCM of 997,918,529,533,529 with Prime Factorization
| 23 | 997, 918, 529, 533, 529 |
| 23 | 997, 918, 23, 533, 23 |
| 997, 918, 1, 533, 1 |
Multiply the prime numbers at the bottom and the left side.
23 x 23 x 997 x 918 x 1 x 533 x 1 = 258060016422
Therefore, the lowest common multiple of 997,918,529,533,529 is 258060016422.
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 918 x 529 x 533 x 529 = 136513748687238
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
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
529 : 1, 23, 529
533 : 1, 13, 41, 533
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,918,529,533,529, is 1.
Now, the common factors can be found like this.
997:997
918:2x 3x 3x 3x 17
529:23x 23
533:13x 41
529:23x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 23 = 529
Therefore, the value for common factors is 529.
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 = 136513748687238/(1x529)
LCM = 136513748687238/529
LCM = 258060016422
Thus, we can understand that the LCM of 997,918,529,533,529 is 258060016422.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 997, 918, 529, 533, 529
1. What is the LCM of 997, 918, 529, 533, 529?
Answer: LCM of 997, 918, 529, 533, 529 is 258060016422.
2. How to calculate the LCM of 997, 918, 529, 533, 529?
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, 918, 529, 533, 529.
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}.