LCM of 763, 728, 616, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 763, 728, 616, 308 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 763, 728, 616, 308. So, keep reading to learn more.
Given numbers are 763,728,616,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,728,616,308 is 872872.
Find LCM of 763,728,616,308 with Prime Factorization
| 2 | 763, 728, 616, 308 |
| 2 | 763, 364, 308, 154 |
| 2 | 763, 182, 77, 154 |
| 7 | 763, 91, 77, 77 |
| 11 | 109, 13, 11, 11 |
| 109, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 109 x 13 x 1 x 1 = 872872
Therefore, the lowest common multiple of 763,728,616,308 is 872872.
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.
763 x 728 x 616 x 308 = 105387073792
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.
763 : 1, 7, 109, 763
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,728,616,308, is 7.
Now, the common factors can be found like this.
763:7x 109
728:2x 2x 2x 7x 13
616:2x 2x 2x 7x 11
308:2x 2x 7x 11
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 7x 7x 11 = 17248
Therefore, the value for common factors is 17248.
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 = 105387073792/(7x17248)
LCM = 105387073792/120736
LCM = 872872
Thus, we can understand that the LCM of 763,728,616,308 is 872872.
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FAQs on LCM of 763, 728, 616, 308
1. What is the LCM of 763, 728, 616, 308?
Answer: LCM of 763, 728, 616, 308 is 872872.
2. How to calculate the LCM of 763, 728, 616, 308?
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 763, 728, 616, 308.
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}.