LCM of 997, 723, 668, 514, 596
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 997, 723, 668, 514, 596 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 997, 723, 668, 514, 596. So, keep reading to learn more.
Given numbers are 997,723,668,514,596
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 997,723,668,514,596 is 18438658030644.
Find LCM of 997,723,668,514,596 with Prime Factorization
| 2 | 997, 723, 668, 514, 596 |
| 2 | 997, 723, 334, 257, 298 |
| 997, 723, 167, 257, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 997 x 723 x 167 x 257 x 149 = 18438658030644
Therefore, the lowest common multiple of 997,723,668,514,596 is 18438658030644.
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.
997 x 723 x 668 x 514 x 596 = 147509264245152
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.
997 : 1, 997
723 : 1, 3, 241, 723
668 : 1, 2, 4, 167, 334, 668
514 : 1, 2, 257, 514
596 : 1, 2, 4, 149, 298, 596
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,723,668,514,596, is 1.
Now, the common factors can be found like this.
997:997
723:3x 241
668:2x 2x 167
514:2x 257
596:2x 2x 149
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 2 = 8
Therefore, the value for common factors is 8.
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 = 147509264245152/(1x8)
LCM = 147509264245152/8
LCM = 18438658030644
Thus, we can understand that the LCM of 997,723,668,514,596 is 18438658030644.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 997, 723, 668, 514, 596
1. What is the LCM of 997, 723, 668, 514, 596?
Answer: LCM of 997, 723, 668, 514, 596 is 18438658030644.
2. How to calculate the LCM of 997, 723, 668, 514, 596?
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 997, 723, 668, 514, 596.
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}.