LCM of 727, 504, 630, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 727, 504, 630, 861 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, 504, 630, 861. So, keep reading to learn more.
Given numbers are 727,504,630,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,504,630,861 is 75113640.
Find LCM of 727,504,630,861 with Prime Factorization
| 2 | 727, 504, 630, 861 |
| 3 | 727, 252, 315, 861 |
| 3 | 727, 84, 105, 287 |
| 7 | 727, 28, 35, 287 |
| 727, 4, 5, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 727 x 4 x 5 x 41 = 75113640
Therefore, the lowest common multiple of 727,504,630,861 is 75113640.
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 504 x 630 x 861 = 198750691440
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
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,504,630,861, is 1.
Now, the common factors can be found like this.
727:727
504:2x 2x 2x 3x 3x 7
630:2x 3x 3x 5x 7
861:3x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7x 7 = 2646
Therefore, the value for common factors is 2646.
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 = 198750691440/(1x2646)
LCM = 198750691440/2646
LCM = 75113640
Thus, we can understand that the LCM of 727,504,630,861 is 75113640.
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FAQs on LCM of 727, 504, 630, 861
1. What is the LCM of 727, 504, 630, 861?
Answer: LCM of 727, 504, 630, 861 is 75113640.
2. How to calculate the LCM of 727, 504, 630, 861?
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, 504, 630, 861.
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}.