LCM of 764, 918, 992, 849, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 918, 992, 849, 744 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 764, 918, 992, 849, 744. So, keep reading to learn more.
Given numbers are 764,918,992,849,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,918,992,849,744 is 24611844384.
Find LCM of 764,918,992,849,744 with Prime Factorization
| 2 | 764, 918, 992, 849, 744 |
| 2 | 382, 459, 496, 849, 372 |
| 2 | 191, 459, 248, 849, 186 |
| 3 | 191, 459, 124, 849, 93 |
| 31 | 191, 153, 124, 283, 31 |
| 191, 153, 4, 283, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 31 x 191 x 153 x 4 x 283 x 1 = 24611844384
Therefore, the lowest common multiple of 764,918,992,849,744 is 24611844384.
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.
764 x 918 x 992 x 849 x 744 = 439469093320704
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.
764 : 1, 2, 4, 191, 382, 764
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
849 : 1, 3, 283, 849
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,918,992,849,744, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
918:2x 3x 3x 3x 17
992:2x 2x 2x 2x 2x 31
849:3x 283
744:2x 2x 2x 3x 31
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 2x 3x 3x 31 = 17856
Therefore, the value for common factors is 17856.
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 = 439469093320704/(1x17856)
LCM = 439469093320704/17856
LCM = 24611844384
Thus, we can understand that the LCM of 764,918,992,849,744 is 24611844384.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 764, 918, 992, 849, 744
1. What is the LCM of 764, 918, 992, 849, 744?
Answer: LCM of 764, 918, 992, 849, 744 is 24611844384.
2. How to calculate the LCM of 764, 918, 992, 849, 744?
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 764, 918, 992, 849, 744.
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}.