Find the LCM of 538, 330, 570, 370 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 538, 330, 570, 370. So, keep reading to learn more.
Given numbers are 538,330,570,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,330,570,370 is 62405310.
Find LCM of 538,330,570,370 with Prime Factorization
2 | 538, 330, 570, 370 |
3 | 269, 165, 285, 185 |
5 | 269, 55, 95, 185 |
269, 11, 19, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 269 x 11 x 19 x 37 = 62405310
Therefore, the lowest common multiple of 538,330,570,370 is 62405310.
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.
538 x 330 x 570 x 370 = 37443186000
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.
538 : 1, 2, 269, 538
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
370 : 1, 2, 5, 10, 37, 74, 185, 370
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,330,570,370, is 2.
Now, the common factors can be found like this.
538:2x 269
330:2x 3x 5x 11
570:2x 3x 5x 19
370:2x 5x 37
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 3x 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 37443186000/(2x300)
LCM = 37443186000/600
LCM = 62405310
Thus, we can understand that the LCM of 538,330,570,370 is 62405310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 538, 330, 570, 370?
Answer: LCM of 538, 330, 570, 370 is 62405310.
2. How to calculate the LCM of 538, 330, 570, 370?
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 538, 330, 570, 370.
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}.