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LCM of 304, 282, 727

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


Find the LCM of 304, 282, 727 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 304, 282, 727. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 304,282,727

Given numbers are 304,282,727

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

The LCM of 304,282,727 is 31162128.

Find LCM of 304,282,727 with Prime Factorization


2 304, 282, 727
152, 141, 727

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

2 x 152 x 141 x 727 = 31162128

Therefore, the lowest common multiple of 304,282,727 is 31162128.

LCM Formula to Find Lowest Common Multiple of 304,282,727

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.

304 x 282 x 727 = 62324256

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.

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

282 : 1, 2, 3, 6, 47, 94, 141, 282

727 : 1, 727

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,282,727, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

282:2x 3x 47

727:727

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

2 = 2

Therefore, the value for common factors is 2.

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 = 62324256/(1x2)

LCM = 62324256/2

LCM = 31162128

Thus, we can understand that the LCM of 304,282,727 is 31162128.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 304, 282, 727

1. What is the LCM of 304, 282, 727?

Answer: LCM of 304, 282, 727 is 31162128.

2. How to calculate the LCM of 304, 282, 727?

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 304, 282, 727.

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}.