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LCM of 525, 414, 483, 238

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 525, 414, 483, 238 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, 414, 483, 238. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 525,414,483,238

Given numbers are 525,414,483,238

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 525,414,483,238 is 1231650.

Find LCM of 525,414,483,238 with Prime Factorization


2 525, 414, 483, 238
3 525, 207, 483, 119
7 175, 69, 161, 119
23 25, 69, 23, 17
25, 3, 1, 17

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 7 x 23 x 25 x 3 x 1 x 17 = 1231650

Therefore, the lowest common multiple of 525,414,483,238 is 1231650.

LCM Formula to Find Lowest Common Multiple of 525,414,483,238

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 414 x 483 x 238 = 24985251900

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

483 : 1, 3, 7, 21, 23, 69, 161, 483

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,414,483,238, is 1.

Now, the common factors can be found like this.

525:3x 5x 5x 7

414:2x 3x 3x 23

483:3x 7x 23

238:2x 7x 17

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 3x 7x 7x 23 = 20286

Therefore, the value for common factors is 20286.

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 = 24985251900/(1x20286)

LCM = 24985251900/20286

LCM = 1231650

Thus, we can understand that the LCM of 525,414,483,238 is 1231650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 525, 414, 483, 238

1. What is the LCM of 525, 414, 483, 238?

Answer: LCM of 525, 414, 483, 238 is 1231650.

2. How to calculate the LCM of 525, 414, 483, 238?

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, 414, 483, 238.

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}.