LCM of 709, 496, 713, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 709, 496, 713, 616 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 709, 496, 713, 616. So, keep reading to learn more.
Given numbers are 709,496,713,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,496,713,616 is 622796944.
Find LCM of 709,496,713,616 with Prime Factorization
| 2 | 709, 496, 713, 616 |
| 2 | 709, 248, 713, 308 |
| 2 | 709, 124, 713, 154 |
| 31 | 709, 62, 713, 77 |
| 709, 2, 23, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 31 x 709 x 2 x 23 x 77 = 622796944
Therefore, the lowest common multiple of 709,496,713,616 is 622796944.
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.
709 x 496 x 713 x 616 = 154453642112
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.
709 : 1, 709
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
713 : 1, 23, 31, 713
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,496,713,616, is 1.
Now, the common factors can be found like this.
709:709
496:2x 2x 2x 2x 31
713:23x 31
616:2x 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 31 = 248
Therefore, the value for common factors is 248.
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 = 154453642112/(1x248)
LCM = 154453642112/248
LCM = 622796944
Thus, we can understand that the LCM of 709,496,713,616 is 622796944.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 709, 496, 713, 616
1. What is the LCM of 709, 496, 713, 616?
Answer: LCM of 709, 496, 713, 616 is 622796944.
2. How to calculate the LCM of 709, 496, 713, 616?
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 709, 496, 713, 616.
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}.