LCM of 747, 198, 385, 908, 249
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 198, 385, 908, 249 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 747, 198, 385, 908, 249. So, keep reading to learn more.
Given numbers are 747,198,385,908,249
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,198,385,908,249 is 261136260.
Find LCM of 747,198,385,908,249 with Prime Factorization
| 2 | 747, 198, 385, 908, 249 |
| 3 | 747, 99, 385, 454, 249 |
| 3 | 83, 33, 385, 454, 249 |
| 11 | 83, 11, 385, 454, 83 |
| 83 | 83, 1, 35, 454, 83 |
| 1, 1, 35, 454, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 83 x 1 x 1 x 35 x 454 x 1 = 261136260
Therefore, the lowest common multiple of 747,198,385,908,249 is 261136260.
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.
747 x 198 x 385 x 908 x 249 = 12874539890520
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.
747 : 1, 3, 9, 83, 249, 747
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
385 : 1, 5, 7, 11, 35, 55, 77, 385
908 : 1, 2, 4, 227, 454, 908
249 : 1, 3, 83, 249
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,198,385,908,249, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
198:2x 3x 3x 11
385:5x 7x 11
908:2x 2x 227
249:3x 83
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 3x 11x 83 = 49302
Therefore, the value for common factors is 49302.
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 = 12874539890520/(1x49302)
LCM = 12874539890520/49302
LCM = 261136260
Thus, we can understand that the LCM of 747,198,385,908,249 is 261136260.
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FAQs on LCM of 747, 198, 385, 908, 249
1. What is the LCM of 747, 198, 385, 908, 249?
Answer: LCM of 747, 198, 385, 908, 249 is 261136260.
2. How to calculate the LCM of 747, 198, 385, 908, 249?
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 747, 198, 385, 908, 249.
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}.