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LCM of 288, 723, 723, 307

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


Find the LCM of 288, 723, 723, 307 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 288, 723, 723, 307. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 288,723,723,307

Given numbers are 288,723,723,307

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

The LCM of 288,723,723,307 is 21308256.

Find LCM of 288,723,723,307 with Prime Factorization


3 288, 723, 723, 307
241 96, 241, 241, 307
96, 1, 1, 307

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

3 x 241 x 96 x 1 x 1 x 307 = 21308256

Therefore, the lowest common multiple of 288,723,723,307 is 21308256.

LCM Formula to Find Lowest Common Multiple of 288,723,723,307

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.

288 x 723 x 723 x 307 = 46217607264

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.

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

723 : 1, 3, 241, 723

723 : 1, 3, 241, 723

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,723,723,307, is 1.

Now, the common factors can be found like this.

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

723:3x 241

723:3x 241

307:307

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 241 = 2169

Therefore, the value for common factors is 2169.

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 = 46217607264/(1x2169)

LCM = 46217607264/2169

LCM = 21308256

Thus, we can understand that the LCM of 288,723,723,307 is 21308256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 288, 723, 723, 307

1. What is the LCM of 288, 723, 723, 307?

Answer: LCM of 288, 723, 723, 307 is 21308256.

2. How to calculate the LCM of 288, 723, 723, 307?

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 288, 723, 723, 307.

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}.