Find the LCM of 578, 300, 625, 731 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 578, 300, 625, 731. So, keep reading to learn more.
Given numbers are 578,300,625,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,300,625,731 is 93202500.
Find LCM of 578,300,625,731 with Prime Factorization
2 | 578, 300, 625, 731 |
5 | 289, 150, 625, 731 |
5 | 289, 30, 125, 731 |
17 | 289, 6, 25, 731 |
17, 6, 25, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 17 x 17 x 6 x 25 x 43 = 93202500
Therefore, the lowest common multiple of 578,300,625,731 is 93202500.
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.
578 x 300 x 625 x 731 = 79222125000
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.
578 : 1, 2, 17, 34, 289, 578
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
625 : 1, 5, 25, 125, 625
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,300,625,731, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
300:2x 2x 3x 5x 5
625:5x 5x 5x 5
731:17x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 17 = 850
Therefore, the value for common factors is 850.
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 = 79222125000/(1x850)
LCM = 79222125000/850
LCM = 93202500
Thus, we can understand that the LCM of 578,300,625,731 is 93202500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 300, 625, 731?
Answer: LCM of 578, 300, 625, 731 is 93202500.
2. How to calculate the LCM of 578, 300, 625, 731?
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 578, 300, 625, 731.
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}.