LCM of 289, 318, 636, 831, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 318, 636, 831, 533 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 289, 318, 636, 831, 533. So, keep reading to learn more.
Given numbers are 289,318,636,831,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,318,636,831,533 is 27137006364.
Find LCM of 289,318,636,831,533 with Prime Factorization
| 2 | 289, 318, 636, 831, 533 |
| 3 | 289, 159, 318, 831, 533 |
| 53 | 289, 53, 106, 277, 533 |
| 289, 1, 2, 277, 533 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 289 x 1 x 2 x 277 x 533 = 27137006364
Therefore, the lowest common multiple of 289,318,636,831,533 is 27137006364.
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.
289 x 318 x 636 x 831 x 533 = 25888704071256
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.
289 : 1, 17, 289
318 : 1, 2, 3, 6, 53, 106, 159, 318
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
831 : 1, 3, 277, 831
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,318,636,831,533, is 1.
Now, the common factors can be found like this.
289:17x 17
318:2x 3x 53
636:2x 2x 3x 53
831:3x 277
533:13x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 53 = 954
Therefore, the value for common factors is 954.
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 = 25888704071256/(1x954)
LCM = 25888704071256/954
LCM = 27137006364
Thus, we can understand that the LCM of 289,318,636,831,533 is 27137006364.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 289, 318, 636, 831, 533
1. What is the LCM of 289, 318, 636, 831, 533?
Answer: LCM of 289, 318, 636, 831, 533 is 27137006364.
2. How to calculate the LCM of 289, 318, 636, 831, 533?
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 289, 318, 636, 831, 533.
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}.