LCM of 4902, 7296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4902, 7296 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 4902, 7296. So, keep reading to learn more.
Given numbers are 4902,7296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4902,7296 is 313728.
Find LCM of 4902,7296 with Prime Factorization
| 2 | 4902, 7296 |
| 3 | 2451, 3648 |
| 19 | 817, 1216 |
| 43, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 43 x 64 = 313728
Therefore, the lowest common multiple of 4902,7296 is 313728.
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.
4902 x 7296 = 35764992
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.
4902 : 1, 2, 3, 6, 19, 38, 43, 57, 86, 114, 129, 258, 817, 1634, 2451, 4902
7296 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 128, 152, 192, 228, 304, 384, 456, 608, 912, 1216, 1824, 2432, 3648, 7296
114 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4902,7296, is 114.
Now, the common factors can be found like this.
4902:2x 3x 19x 43
7296:2x 2x 2x 2x 2x 2x 2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 35764992/(114x1)
LCM = 35764992/114
LCM = 313728
Thus, we can understand that the LCM of 4902,7296 is 313728.
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FAQs on LCM of 4902, 7296
1. What is the LCM of 4902, 7296?
Answer: LCM of 4902, 7296 is 313728.
2. How to calculate the LCM of 4902, 7296?
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 4902, 7296.
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}.