LCM of 616, 538, 728, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 538, 728, 945 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 616, 538, 728, 945. So, keep reading to learn more.
Given numbers are 616,538,728,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,538,728,945 is 290810520.
Find LCM of 616,538,728,945 with Prime Factorization
| 2 | 616, 538, 728, 945 |
| 2 | 308, 269, 364, 945 |
| 2 | 154, 269, 182, 945 |
| 7 | 77, 269, 91, 945 |
| 11, 269, 13, 135 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 269 x 13 x 135 = 290810520
Therefore, the lowest common multiple of 616,538,728,945 is 290810520.
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.
616 x 538 x 728 x 945 = 227995447680
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
538 : 1, 2, 269, 538
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,538,728,945, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
538:2x 269
728:2x 2x 2x 7x 13
945:3x 3x 3x 5x 7
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 7 = 784
Therefore, the value for common factors is 784.
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 = 227995447680/(1x784)
LCM = 227995447680/784
LCM = 290810520
Thus, we can understand that the LCM of 616,538,728,945 is 290810520.
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FAQs on LCM of 616, 538, 728, 945
1. What is the LCM of 616, 538, 728, 945?
Answer: LCM of 616, 538, 728, 945 is 290810520.
2. How to calculate the LCM of 616, 538, 728, 945?
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 616, 538, 728, 945.
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}.