LCM of 403, 721, 264, 728, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 721, 264, 728, 279 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 403, 721, 264, 728, 279. So, keep reading to learn more.
Given numbers are 403,721,264,728,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,721,264,728,279 is 230125896.
Find LCM of 403,721,264,728,279 with Prime Factorization
| 2 | 403, 721, 264, 728, 279 |
| 2 | 403, 721, 132, 364, 279 |
| 2 | 403, 721, 66, 182, 279 |
| 3 | 403, 721, 33, 91, 279 |
| 7 | 403, 721, 11, 91, 93 |
| 13 | 403, 103, 11, 13, 93 |
| 31 | 31, 103, 11, 1, 93 |
| 1, 103, 11, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 31 x 1 x 103 x 11 x 1 x 3 = 230125896
Therefore, the lowest common multiple of 403,721,264,728,279 is 230125896.
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.
403 x 721 x 264 x 728 x 279 = 15580443662784
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.
403 : 1, 13, 31, 403
721 : 1, 7, 103, 721
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,721,264,728,279, is 1.
Now, the common factors can be found like this.
403:13x 31
721:7x 103
264:2x 2x 2x 3x 11
728:2x 2x 2x 7x 13
279:3x 3x 31
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 3x 7x 13x 31 = 67704
Therefore, the value for common factors is 67704.
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 = 15580443662784/(1x67704)
LCM = 15580443662784/67704
LCM = 230125896
Thus, we can understand that the LCM of 403,721,264,728,279 is 230125896.
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FAQs on LCM of 403, 721, 264, 728, 279
1. What is the LCM of 403, 721, 264, 728, 279?
Answer: LCM of 403, 721, 264, 728, 279 is 230125896.
2. How to calculate the LCM of 403, 721, 264, 728, 279?
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 403, 721, 264, 728, 279.
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}.