LCM of 728, 245, 416, 601, 926
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 728, 245, 416, 601, 926 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 728, 245, 416, 601, 926. So, keep reading to learn more.
Given numbers are 728,245,416,601,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,245,416,601,926 is 28360564960.
Find LCM of 728,245,416,601,926 with Prime Factorization
| 2 | 728, 245, 416, 601, 926 |
| 2 | 364, 245, 208, 601, 463 |
| 2 | 182, 245, 104, 601, 463 |
| 7 | 91, 245, 52, 601, 463 |
| 13 | 13, 35, 52, 601, 463 |
| 1, 35, 4, 601, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 13 x 1 x 35 x 4 x 601 x 463 = 28360564960
Therefore, the lowest common multiple of 728,245,416,601,926 is 28360564960.
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.
728 x 245 x 416 x 601 x 926 = 41292982581760
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
245 : 1, 5, 7, 35, 49, 245
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
601 : 1, 601
926 : 1, 2, 463, 926
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,245,416,601,926, is 1.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
245:5x 7x 7
416:2x 2x 2x 2x 2x 13
601:601
926:2x 463
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 7x 13 = 1456
Therefore, the value for common factors is 1456.
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 = 41292982581760/(1x1456)
LCM = 41292982581760/1456
LCM = 28360564960
Thus, we can understand that the LCM of 728,245,416,601,926 is 28360564960.
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FAQs on LCM of 728, 245, 416, 601, 926
1. What is the LCM of 728, 245, 416, 601, 926?
Answer: LCM of 728, 245, 416, 601, 926 is 28360564960.
2. How to calculate the LCM of 728, 245, 416, 601, 926?
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 728, 245, 416, 601, 926.
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}.