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LCM of 157, 288, 304, 324

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


Find the LCM of 157, 288, 304, 324 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 157, 288, 304, 324. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 157,288,304,324

Given numbers are 157,288,304,324

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

The LCM of 157,288,304,324 is 7731936.

Find LCM of 157,288,304,324 with Prime Factorization


2 157, 288, 304, 324
2 157, 144, 152, 162
2 157, 72, 76, 81
2 157, 36, 38, 81
3 157, 18, 19, 81
3 157, 6, 19, 27
157, 2, 19, 9

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

2 x 2 x 2 x 2 x 3 x 3 x 157 x 2 x 19 x 9 = 7731936

Therefore, the lowest common multiple of 157,288,304,324 is 7731936.

LCM Formula to Find Lowest Common Multiple of 157,288,304,324

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.

157 x 288 x 304 x 324 = 4453595136

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.

157 : 1, 157

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,288,304,324, is 1.

Now, the common factors can be found like this.

157:157

288:2x 2x 2x 2x 2x 3x 3

304:2x 2x 2x 2x 19

324:2x 2x 3x 3x 3x 3

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 2x 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 4453595136/(1x576)

LCM = 4453595136/576

LCM = 7731936

Thus, we can understand that the LCM of 157,288,304,324 is 7731936.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 157, 288, 304, 324

1. What is the LCM of 157, 288, 304, 324?

Answer: LCM of 157, 288, 304, 324 is 7731936.

2. How to calculate the LCM of 157, 288, 304, 324?

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 157, 288, 304, 324.

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}.