Find the LCM of 230, 957, 290, 978, 470 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 230, 957, 290, 978, 470. So, keep reading to learn more.
Given numbers are 230,957,290,978,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,957,290,978,470 is 1686262710.
Find LCM of 230,957,290,978,470 with Prime Factorization
2 | 230, 957, 290, 978, 470 |
3 | 115, 957, 145, 489, 235 |
5 | 115, 319, 145, 163, 235 |
29 | 23, 319, 29, 163, 47 |
23, 11, 1, 163, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 23 x 11 x 1 x 163 x 47 = 1686262710
Therefore, the lowest common multiple of 230,957,290,978,470 is 1686262710.
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.
230 x 957 x 290 x 978 x 470 = 29340971154000
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
957 : 1, 3, 11, 29, 33, 87, 319, 957
290 : 1, 2, 5, 10, 29, 58, 145, 290
978 : 1, 2, 3, 6, 163, 326, 489, 978
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,957,290,978,470, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
957:3x 11x 29
290:2x 5x 29
978:2x 3x 163
470:2x 5x 47
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 3x 5x 5x 29 = 17400
Therefore, the value for common factors is 17400.
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 = 29340971154000/(1x17400)
LCM = 29340971154000/17400
LCM = 1686262710
Thus, we can understand that the LCM of 230,957,290,978,470 is 1686262710.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 230, 957, 290, 978, 470?
Answer: LCM of 230, 957, 290, 978, 470 is 1686262710.
2. How to calculate the LCM of 230, 957, 290, 978, 470?
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 230, 957, 290, 978, 470.
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}.