LCM of 668, 738, 218, 766
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 738, 218, 766 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 668, 738, 218, 766. So, keep reading to learn more.
Given numbers are 668,738,218,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,738,218,766 is 10290301524.
Find LCM of 668,738,218,766 with Prime Factorization
| 2 | 668, 738, 218, 766 |
| 334, 369, 109, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 334 x 369 x 109 x 383 = 10290301524
Therefore, the lowest common multiple of 668,738,218,766 is 10290301524.
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.
668 x 738 x 218 x 766 = 82322412192
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.
668 : 1, 2, 4, 167, 334, 668
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
218 : 1, 2, 109, 218
766 : 1, 2, 383, 766
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,738,218,766, is 2.
Now, the common factors can be found like this.
668:2x 2x 167
738:2x 3x 3x 41
218:2x 109
766:2x 383
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 82322412192/(2x4)
LCM = 82322412192/8
LCM = 10290301524
Thus, we can understand that the LCM of 668,738,218,766 is 10290301524.
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FAQs on LCM of 668, 738, 218, 766
1. What is the LCM of 668, 738, 218, 766?
Answer: LCM of 668, 738, 218, 766 is 10290301524.
2. How to calculate the LCM of 668, 738, 218, 766?
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 668, 738, 218, 766.
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}.