LCM of 727, 668, 656, 174, 280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 727, 668, 656, 174, 280 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 727, 668, 656, 174, 280. So, keep reading to learn more.
Given numbers are 727,668,656,174,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,668,656,174,280 is 242516905680.
Find LCM of 727,668,656,174,280 with Prime Factorization
| 2 | 727, 668, 656, 174, 280 |
| 2 | 727, 334, 328, 87, 140 |
| 2 | 727, 167, 164, 87, 70 |
| 727, 167, 82, 87, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 727 x 167 x 82 x 87 x 35 = 242516905680
Therefore, the lowest common multiple of 727,668,656,174,280 is 242516905680.
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.
727 x 668 x 656 x 174 x 280 = 15521081963520
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.
727 : 1, 727
668 : 1, 2, 4, 167, 334, 668
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
174 : 1, 2, 3, 6, 29, 58, 87, 174
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,668,656,174,280, is 1.
Now, the common factors can be found like this.
727:727
668:2x 2x 167
656:2x 2x 2x 2x 41
174:2x 3x 29
280:2x 2x 2x 5x 7
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 2 = 64
Therefore, the value for common factors is 64.
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 = 15521081963520/(1x64)
LCM = 15521081963520/64
LCM = 242516905680
Thus, we can understand that the LCM of 727,668,656,174,280 is 242516905680.
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FAQs on LCM of 727, 668, 656, 174, 280
1. What is the LCM of 727, 668, 656, 174, 280?
Answer: LCM of 727, 668, 656, 174, 280 is 242516905680.
2. How to calculate the LCM of 727, 668, 656, 174, 280?
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 727, 668, 656, 174, 280.
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}.