LCM of 486, 908, 824, 972, 251
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 908, 824, 972, 251 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 486, 908, 824, 972, 251. So, keep reading to learn more.
Given numbers are 486,908,824,972,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,908,824,972,251 is 11408618664.
Find LCM of 486,908,824,972,251 with Prime Factorization
| 2 | 486, 908, 824, 972, 251 |
| 2 | 243, 454, 412, 486, 251 |
| 3 | 243, 227, 206, 243, 251 |
| 3 | 81, 227, 206, 81, 251 |
| 3 | 27, 227, 206, 27, 251 |
| 3 | 9, 227, 206, 9, 251 |
| 3 | 3, 227, 206, 3, 251 |
| 1, 227, 206, 1, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 3 x 1 x 227 x 206 x 1 x 251 = 11408618664
Therefore, the lowest common multiple of 486,908,824,972,251 is 11408618664.
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.
486 x 908 x 824 x 972 x 251 = 88713418731264
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
908 : 1, 2, 4, 227, 454, 908
824 : 1, 2, 4, 8, 103, 206, 412, 824
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,908,824,972,251, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
908:2x 2x 227
824:2x 2x 2x 103
972:2x 2x 3x 3x 3x 3x 3
251:251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 3x 3x 3x 3 = 7776
Therefore, the value for common factors is 7776.
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 = 88713418731264/(1x7776)
LCM = 88713418731264/7776
LCM = 11408618664
Thus, we can understand that the LCM of 486,908,824,972,251 is 11408618664.
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FAQs on LCM of 486, 908, 824, 972, 251
1. What is the LCM of 486, 908, 824, 972, 251?
Answer: LCM of 486, 908, 824, 972, 251 is 11408618664.
2. How to calculate the LCM of 486, 908, 824, 972, 251?
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 486, 908, 824, 972, 251.
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}.