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LCM of 304, 982, 232, 812, 721

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


Find the LCM of 304, 982, 232, 812, 721 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, 982, 232, 812, 721. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 304,982,232,812,721

Given numbers are 304,982,232,812,721

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

The LCM of 304,982,232,812,721 is 3120960976.

Find LCM of 304,982,232,812,721 with Prime Factorization


2 304, 982, 232, 812, 721
2 152, 491, 116, 406, 721
2 76, 491, 58, 203, 721
7 38, 491, 29, 203, 721
29 38, 491, 29, 29, 103
38, 491, 1, 1, 103

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

2 x 2 x 2 x 7 x 29 x 38 x 491 x 1 x 1 x 103 = 3120960976

Therefore, the lowest common multiple of 304,982,232,812,721 is 3120960976.

LCM Formula to Find Lowest Common Multiple of 304,982,232,812,721

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 982 x 232 x 812 x 721 = 40547525000192

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

982 : 1, 2, 491, 982

232 : 1, 2, 4, 8, 29, 58, 116, 232

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,982,232,812,721, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

982:2x 491

232:2x 2x 2x 29

812:2x 2x 7x 29

721:7x 103

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 7x 29 = 12992

Therefore, the value for common factors is 12992.

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 = 40547525000192/(1x12992)

LCM = 40547525000192/12992

LCM = 3120960976

Thus, we can understand that the LCM of 304,982,232,812,721 is 3120960976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 304, 982, 232, 812, 721

1. What is the LCM of 304, 982, 232, 812, 721?

Answer: LCM of 304, 982, 232, 812, 721 is 3120960976.

2. How to calculate the LCM of 304, 982, 232, 812, 721?

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, 982, 232, 812, 721.

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}.