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LCM of 721, 273, 130, 642, 648

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


Find the LCM of 721, 273, 130, 642, 648 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 721, 273, 130, 642, 648. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 721,273,130,642,648

Given numbers are 721,273,130,642,648

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

The LCM of 721,273,130,642,648 is 3249431640.

Find LCM of 721,273,130,642,648 with Prime Factorization


2 721, 273, 130, 642, 648
3 721, 273, 65, 321, 324
7 721, 91, 65, 107, 108
13 103, 13, 65, 107, 108
103, 1, 5, 107, 108

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

2 x 3 x 7 x 13 x 103 x 1 x 5 x 107 x 108 = 3249431640

Therefore, the lowest common multiple of 721,273,130,642,648 is 3249431640.

LCM Formula to Find Lowest Common Multiple of 721,273,130,642,648

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.

721 x 273 x 130 x 642 x 648 = 10645138052640

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.

721 : 1, 7, 103, 721

273 : 1, 3, 7, 13, 21, 39, 91, 273

130 : 1, 2, 5, 10, 13, 26, 65, 130

642 : 1, 2, 3, 6, 107, 214, 321, 642

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,273,130,642,648, is 1.

Now, the common factors can be found like this.

721:7x 103

273:3x 7x 13

130:2x 5x 13

642:2x 3x 107

648:2x 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 3x 3x 7x 13 = 3276

Therefore, the value for common factors is 3276.

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 = 10645138052640/(1x3276)

LCM = 10645138052640/3276

LCM = 3249431640

Thus, we can understand that the LCM of 721,273,130,642,648 is 3249431640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 721, 273, 130, 642, 648

1. What is the LCM of 721, 273, 130, 642, 648?

Answer: LCM of 721, 273, 130, 642, 648 is 3249431640.

2. How to calculate the LCM of 721, 273, 130, 642, 648?

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 721, 273, 130, 642, 648.

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}.