LCM of 744, 372, 990, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 744, 372, 990, 668 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 744, 372, 990, 668. So, keep reading to learn more.
Given numbers are 744,372,990,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,372,990,668 is 20500920.
Find LCM of 744,372,990,668 with Prime Factorization
| 2 | 744, 372, 990, 668 |
| 2 | 372, 186, 495, 334 |
| 3 | 93, 186, 495, 167 |
| 31 | 31, 62, 165, 167 |
| 1, 2, 165, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 1 x 2 x 165 x 167 = 20500920
Therefore, the lowest common multiple of 744,372,990,668 is 20500920.
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.
744 x 372 x 990 x 668 = 183032213760
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.
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
668 : 1, 2, 4, 167, 334, 668
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,372,990,668, is 2.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
372:2x 2x 3x 31
990:2x 3x 3x 5x 11
668:2x 2x 167
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 31 = 4464
Therefore, the value for common factors is 4464.
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 = 183032213760/(2x4464)
LCM = 183032213760/8928
LCM = 20500920
Thus, we can understand that the LCM of 744,372,990,668 is 20500920.
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FAQs on LCM of 744, 372, 990, 668
1. What is the LCM of 744, 372, 990, 668?
Answer: LCM of 744, 372, 990, 668 is 20500920.
2. How to calculate the LCM of 744, 372, 990, 668?
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 744, 372, 990, 668.
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}.