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LCM of 230, 525, 844, 394, 354

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


Find the LCM of 230, 525, 844, 394, 354 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, 525, 844, 394, 354. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,525,844,394,354

Given numbers are 230,525,844,394,354

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

The LCM of 230,525,844,394,354 is 118453479900.

Find LCM of 230,525,844,394,354 with Prime Factorization


2 230, 525, 844, 394, 354
3 115, 525, 422, 197, 177
5 115, 175, 422, 197, 59
23, 35, 422, 197, 59

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

2 x 3 x 5 x 23 x 35 x 422 x 197 x 59 = 118453479900

Therefore, the lowest common multiple of 230,525,844,394,354 is 118453479900.

LCM Formula to Find Lowest Common Multiple of 230,525,844,394,354

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 525 x 844 x 394 x 354 = 14214417588000

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

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

844 : 1, 2, 4, 211, 422, 844

394 : 1, 2, 197, 394

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,525,844,394,354, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

525:3x 5x 5x 7

844:2x 2x 211

394:2x 197

354:2x 3x 59

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 5 = 120

Therefore, the value for common factors is 120.

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 = 14214417588000/(1x120)

LCM = 14214417588000/120

LCM = 118453479900

Thus, we can understand that the LCM of 230,525,844,394,354 is 118453479900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 525, 844, 394, 354

1. What is the LCM of 230, 525, 844, 394, 354?

Answer: LCM of 230, 525, 844, 394, 354 is 118453479900.

2. How to calculate the LCM of 230, 525, 844, 394, 354?

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, 525, 844, 394, 354.

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}.