Find the LCM of 506, 500, 780, 300 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 506, 500, 780, 300. So, keep reading to learn more.
Given numbers are 506,500,780,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,500,780,300 is 4933500.
Find LCM of 506,500,780,300 with Prime Factorization
2 | 506, 500, 780, 300 |
2 | 253, 250, 390, 150 |
3 | 253, 125, 195, 75 |
5 | 253, 125, 65, 25 |
5 | 253, 5, 13, 25 |
253, 1, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 253 x 1 x 13 x 5 = 4933500
Therefore, the lowest common multiple of 506,500,780,300 is 4933500.
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.
506 x 500 x 780 x 300 = 59202000000
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.
506 : 1, 2, 11, 22, 23, 46, 253, 506
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,500,780,300, is 2.
Now, the common factors can be found like this.
506:2x 11x 23
500:2x 2x 5x 5x 5
780:2x 2x 3x 5x 13
300:2x 2x 3x 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 3x 5x 5x 5 = 6000
Therefore, the value for common factors is 6000.
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 = 59202000000/(2x6000)
LCM = 59202000000/12000
LCM = 4933500
Thus, we can understand that the LCM of 506,500,780,300 is 4933500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 506, 500, 780, 300?
Answer: LCM of 506, 500, 780, 300 is 4933500.
2. How to calculate the LCM of 506, 500, 780, 300?
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 506, 500, 780, 300.
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}.