Find the LCM of 616, 749, 469, 539 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, 749, 469, 539. So, keep reading to learn more.
Given numbers are 616,749,469,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,749,469,539 is 30912728.
Find LCM of 616,749,469,539 with Prime Factorization
7 | 616, 749, 469, 539 |
11 | 88, 107, 67, 77 |
8, 107, 67, 7 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 8 x 107 x 67 x 7 = 30912728
Therefore, the lowest common multiple of 616,749,469,539 is 30912728.
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 749 x 469 x 539 = 116633722744
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
749 : 1, 7, 107, 749
469 : 1, 7, 67, 469
539 : 1, 7, 11, 49, 77, 539
7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,749,469,539, is 7.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
749:7x 107
469:7x 67
539:7x 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.
7x 7x 11 = 539
Therefore, the value for common factors is 539.
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 = 116633722744/(7x539)
LCM = 116633722744/3773
LCM = 30912728
Thus, we can understand that the LCM of 616,749,469,539 is 30912728.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 616, 749, 469, 539?
Answer: LCM of 616, 749, 469, 539 is 30912728.
2. How to calculate the LCM of 616, 749, 469, 539?
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, 749, 469, 539.
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}.