LCM of 401, 760, 504, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 401, 760, 504, 728 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 401, 760, 504, 728. So, keep reading to learn more.
Given numbers are 401,760,504,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,760,504,728 is 249598440.
Find LCM of 401,760,504,728 with Prime Factorization
| 2 | 401, 760, 504, 728 |
| 2 | 401, 380, 252, 364 |
| 2 | 401, 190, 126, 182 |
| 7 | 401, 95, 63, 91 |
| 401, 95, 9, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 401 x 95 x 9 x 13 = 249598440
Therefore, the lowest common multiple of 401,760,504,728 is 249598440.
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.
401 x 760 x 504 x 728 = 111820101120
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.
401 : 1, 401
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
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
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,760,504,728, is 1.
Now, the common factors can be found like this.
401:401
760:2x 2x 2x 5x 19
504:2x 2x 2x 3x 3x 7
728:2x 2x 2x 7x 13
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 2x 7 = 448
Therefore, the value for common factors is 448.
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 = 111820101120/(1x448)
LCM = 111820101120/448
LCM = 249598440
Thus, we can understand that the LCM of 401,760,504,728 is 249598440.
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FAQs on LCM of 401, 760, 504, 728
1. What is the LCM of 401, 760, 504, 728?
Answer: LCM of 401, 760, 504, 728 is 249598440.
2. How to calculate the LCM of 401, 760, 504, 728?
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 401, 760, 504, 728.
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}.