LCM of 203, 208, 630, 377, 243
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 203, 208, 630, 377, 243 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 203, 208, 630, 377, 243. So, keep reading to learn more.
Given numbers are 203,208,630,377,243
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,208,630,377,243 is 51302160.
Find LCM of 203,208,630,377,243 with Prime Factorization
| 2 | 203, 208, 630, 377, 243 |
| 3 | 203, 104, 315, 377, 243 |
| 3 | 203, 104, 105, 377, 81 |
| 7 | 203, 104, 35, 377, 27 |
| 13 | 29, 104, 5, 377, 27 |
| 29 | 29, 8, 5, 29, 27 |
| 1, 8, 5, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 13 x 29 x 1 x 8 x 5 x 1 x 27 = 51302160
Therefore, the lowest common multiple of 203,208,630,377,243 is 51302160.
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.
203 x 208 x 630 x 377 x 243 = 2436955204320
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.
203 : 1, 7, 29, 203
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
377 : 1, 13, 29, 377
243 : 1, 3, 9, 27, 81, 243
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,208,630,377,243, is 1.
Now, the common factors can be found like this.
203:7x 29
208:2x 2x 2x 2x 13
630:2x 3x 3x 5x 7
377:13x 29
243:3x 3x 3x 3x 3
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 7x 13x 29 = 47502
Therefore, the value for common factors is 47502.
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 = 2436955204320/(1x47502)
LCM = 2436955204320/47502
LCM = 51302160
Thus, we can understand that the LCM of 203,208,630,377,243 is 51302160.
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FAQs on LCM of 203, 208, 630, 377, 243
1. What is the LCM of 203, 208, 630, 377, 243?
Answer: LCM of 203, 208, 630, 377, 243 is 51302160.
2. How to calculate the LCM of 203, 208, 630, 377, 243?
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 203, 208, 630, 377, 243.
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}.