Find the LCM of 750, 460, 517, 506 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 750, 460, 517, 506. So, keep reading to learn more.
Given numbers are 750,460,517,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,460,517,506 is 17836500.
Find LCM of 750,460,517,506 with Prime Factorization
2 | 750, 460, 517, 506 |
5 | 375, 230, 517, 253 |
11 | 75, 46, 517, 253 |
23 | 75, 46, 47, 23 |
75, 2, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 23 x 75 x 2 x 47 x 1 = 17836500
Therefore, the lowest common multiple of 750,460,517,506 is 17836500.
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.
750 x 460 x 517 x 506 = 90252690000
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.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
517 : 1, 11, 47, 517
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,460,517,506, is 1.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
460:2x 2x 5x 23
517:11x 47
506:2x 11x 23
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 5x 11x 23 = 5060
Therefore, the value for common factors is 5060.
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 = 90252690000/(1x5060)
LCM = 90252690000/5060
LCM = 17836500
Thus, we can understand that the LCM of 750,460,517,506 is 17836500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 750, 460, 517, 506?
Answer: LCM of 750, 460, 517, 506 is 17836500.
2. How to calculate the LCM of 750, 460, 517, 506?
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 750, 460, 517, 506.
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}.