LCM of 525, 202, 238, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 525, 202, 238, 909 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, 202, 238, 909. So, keep reading to learn more.
Given numbers are 525,202,238,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,202,238,909 is 5408550.
Find LCM of 525,202,238,909 with Prime Factorization
| 2 | 525, 202, 238, 909 |
| 3 | 525, 101, 119, 909 |
| 7 | 175, 101, 119, 303 |
| 101 | 25, 101, 17, 303 |
| 25, 1, 17, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 101 x 25 x 1 x 17 x 3 = 5408550
Therefore, the lowest common multiple of 525,202,238,909 is 5408550.
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 202 x 238 x 909 = 22943069100
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
202 : 1, 2, 101, 202
238 : 1, 2, 7, 14, 17, 34, 119, 238
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,202,238,909, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
202:2x 101
238:2x 7x 17
909:3x 3x 101
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 7x 101 = 4242
Therefore, the value for common factors is 4242.
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 = 22943069100/(1x4242)
LCM = 22943069100/4242
LCM = 5408550
Thus, we can understand that the LCM of 525,202,238,909 is 5408550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 525, 202, 238, 909
1. What is the LCM of 525, 202, 238, 909?
Answer: LCM of 525, 202, 238, 909 is 5408550.
2. How to calculate the LCM of 525, 202, 238, 909?
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, 202, 238, 909.
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}.