LCM of 283, 237, 489, 553
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 283, 237, 489, 553 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 283, 237, 489, 553. So, keep reading to learn more.
Given numbers are 283,237,489,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,237,489,553 is 76528011.
Find LCM of 283,237,489,553 with Prime Factorization
| 3 | 283, 237, 489, 553 |
| 79 | 283, 79, 163, 553 |
| 283, 1, 163, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 79 x 283 x 1 x 163 x 7 = 76528011
Therefore, the lowest common multiple of 283,237,489,553 is 76528011.
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.
283 x 237 x 489 x 553 = 18137138607
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.
283 : 1, 283
237 : 1, 3, 79, 237
489 : 1, 3, 163, 489
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,237,489,553, is 1.
Now, the common factors can be found like this.
283:283
237:3x 79
489:3x 163
553:7x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 79 = 237
Therefore, the value for common factors is 237.
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 = 18137138607/(1x237)
LCM = 18137138607/237
LCM = 76528011
Thus, we can understand that the LCM of 283,237,489,553 is 76528011.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 283, 237, 489, 553
1. What is the LCM of 283, 237, 489, 553?
Answer: LCM of 283, 237, 489, 553 is 76528011.
2. How to calculate the LCM of 283, 237, 489, 553?
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 283, 237, 489, 553.
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}.