LCM of 366, 996, 918, 834, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 366, 996, 918, 834, 748 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 366, 996, 918, 834, 748. So, keep reading to learn more.
Given numbers are 366,996,918,834,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 366,996,918,834,748 is 14213076372.
Find LCM of 366,996,918,834,748 with Prime Factorization
| 2 | 366, 996, 918, 834, 748 |
| 2 | 183, 498, 459, 417, 374 |
| 3 | 183, 249, 459, 417, 187 |
| 17 | 61, 83, 153, 139, 187 |
| 61, 83, 9, 139, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 61 x 83 x 9 x 139 x 11 = 14213076372
Therefore, the lowest common multiple of 366,996,918,834,748 is 14213076372.
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.
366 x 996 x 918 x 834 x 748 = 208761665751936
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.
366 : 1, 2, 3, 6, 61, 122, 183, 366
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
834 : 1, 2, 3, 6, 139, 278, 417, 834
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,996,918,834,748, is 2.
Now, the common factors can be found like this.
366:2x 3x 61
996:2x 2x 3x 83
918:2x 3x 3x 3x 17
834:2x 3x 139
748:2x 2x 11x 17
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 3x 3x 3x 17 = 7344
Therefore, the value for common factors is 7344.
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 = 208761665751936/(2x7344)
LCM = 208761665751936/14688
LCM = 14213076372
Thus, we can understand that the LCM of 366,996,918,834,748 is 14213076372.
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FAQs on LCM of 366, 996, 918, 834, 748
1. What is the LCM of 366, 996, 918, 834, 748?
Answer: LCM of 366, 996, 918, 834, 748 is 14213076372.
2. How to calculate the LCM of 366, 996, 918, 834, 748?
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 366, 996, 918, 834, 748.
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}.