LCM of 525, 470, 125, 214, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 525, 470, 125, 214, 189 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 525, 470, 125, 214, 189. So, keep reading to learn more.
Given numbers are 525,470,125,214,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,470,125,214,189 is 237620250.
Find LCM of 525,470,125,214,189 with Prime Factorization
| 2 | 525, 470, 125, 214, 189 |
| 3 | 525, 235, 125, 107, 189 |
| 5 | 175, 235, 125, 107, 63 |
| 5 | 35, 47, 25, 107, 63 |
| 7 | 7, 47, 5, 107, 63 |
| 1, 47, 5, 107, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 7 x 1 x 47 x 5 x 107 x 9 = 237620250
Therefore, the lowest common multiple of 525,470,125,214,189 is 237620250.
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.
525 x 470 x 125 x 214 x 189 = 1247506312500
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.
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
470 : 1, 2, 5, 10, 47, 94, 235, 470
125 : 1, 5, 25, 125
214 : 1, 2, 107, 214
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,470,125,214,189, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
470:2x 5x 47
125:5x 5x 5
214:2x 107
189:3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 5x 7 = 5250
Therefore, the value for common factors is 5250.
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 = 1247506312500/(1x5250)
LCM = 1247506312500/5250
LCM = 237620250
Thus, we can understand that the LCM of 525,470,125,214,189 is 237620250.
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FAQs on LCM of 525, 470, 125, 214, 189
1. What is the LCM of 525, 470, 125, 214, 189?
Answer: LCM of 525, 470, 125, 214, 189 is 237620250.
2. How to calculate the LCM of 525, 470, 125, 214, 189?
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 525, 470, 125, 214, 189.
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}.