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LCM of 332, 959, 130, 403, 732

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


Find the LCM of 332, 959, 130, 403, 732 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 332, 959, 130, 403, 732. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 332,959,130,403,732

Given numbers are 332,959,130,403,732

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

The LCM of 332,959,130,403,732 is 117403983060.

Find LCM of 332,959,130,403,732 with Prime Factorization


2 332, 959, 130, 403, 732
2 166, 959, 65, 403, 366
13 83, 959, 65, 403, 183
83, 959, 5, 31, 183

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

2 x 2 x 13 x 83 x 959 x 5 x 31 x 183 = 117403983060

Therefore, the lowest common multiple of 332,959,130,403,732 is 117403983060.

LCM Formula to Find Lowest Common Multiple of 332,959,130,403,732

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.

332 x 959 x 130 x 403 x 732 = 12210014238240

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.

332 : 1, 2, 4, 83, 166, 332

959 : 1, 7, 137, 959

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

403 : 1, 13, 31, 403

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,959,130,403,732, is 1.

Now, the common factors can be found like this.

332:2x 2x 83

959:7x 137

130:2x 5x 13

403:13x 31

732:2x 2x 3x 61

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 13 = 104

Therefore, the value for common factors is 104.

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 = 12210014238240/(1x104)

LCM = 12210014238240/104

LCM = 117403983060

Thus, we can understand that the LCM of 332,959,130,403,732 is 117403983060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 332, 959, 130, 403, 732

1. What is the LCM of 332, 959, 130, 403, 732?

Answer: LCM of 332, 959, 130, 403, 732 is 117403983060.

2. How to calculate the LCM of 332, 959, 130, 403, 732?

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 332, 959, 130, 403, 732.

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}.