LCM of 616, 723, 394, 527, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 723, 394, 527, 574 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, 723, 394, 527, 574. So, keep reading to learn more.
Given numbers are 616,723,394,527,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,723,394,527,574 is 1895744076072.
Find LCM of 616,723,394,527,574 with Prime Factorization
| 2 | 616, 723, 394, 527, 574 |
| 7 | 308, 723, 197, 527, 287 |
| 44, 723, 197, 527, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 44 x 723 x 197 x 527 x 41 = 1895744076072
Therefore, the lowest common multiple of 616,723,394,527,574 is 1895744076072.
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 723 x 394 x 527 x 574 = 53080834130016
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
723 : 1, 3, 241, 723
394 : 1, 2, 197, 394
527 : 1, 17, 31, 527
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,723,394,527,574, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
723:3x 241
394:2x 197
527:17x 31
574:2x 7x 41
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 7 = 28
Therefore, the value for common factors is 28.
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 = 53080834130016/(1x28)
LCM = 53080834130016/28
LCM = 1895744076072
Thus, we can understand that the LCM of 616,723,394,527,574 is 1895744076072.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 616, 723, 394, 527, 574
1. What is the LCM of 616, 723, 394, 527, 574?
Answer: LCM of 616, 723, 394, 527, 574 is 1895744076072.
2. How to calculate the LCM of 616, 723, 394, 527, 574?
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, 723, 394, 527, 574.
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}.