Find the LCM of 616, 528, 649, 500 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, 528, 649, 500. So, keep reading to learn more.
Given numbers are 616,528,649,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,528,649,500 is 27258000.
Find LCM of 616,528,649,500 with Prime Factorization
2 | 616, 528, 649, 500 |
2 | 308, 264, 649, 250 |
2 | 154, 132, 649, 125 |
11 | 77, 66, 649, 125 |
7, 6, 59, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 7 x 6 x 59 x 125 = 27258000
Therefore, the lowest common multiple of 616,528,649,500 is 27258000.
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 528 x 649 x 500 = 105542976000
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
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
649 : 1, 11, 59, 649
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,528,649,500, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
528:2x 2x 2x 2x 3x 11
649:11x 59
500:2x 2x 5x 5x 5
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 11x 11 = 3872
Therefore, the value for common factors is 3872.
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 = 105542976000/(1x3872)
LCM = 105542976000/3872
LCM = 27258000
Thus, we can understand that the LCM of 616,528,649,500 is 27258000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 616, 528, 649, 500?
Answer: LCM of 616, 528, 649, 500 is 27258000.
2. How to calculate the LCM of 616, 528, 649, 500?
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, 528, 649, 500.
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}.