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LCM of 732, 351, 269, 906, 260

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


Find the LCM of 732, 351, 269, 906, 260 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 732, 351, 269, 906, 260. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 732,351,269,906,260

Given numbers are 732,351,269,906,260

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

The LCM of 732,351,269,906,260 is 17393868180.

Find LCM of 732,351,269,906,260 with Prime Factorization


2 732, 351, 269, 906, 260
2 366, 351, 269, 453, 130
3 183, 351, 269, 453, 65
13 61, 117, 269, 151, 65
61, 9, 269, 151, 5

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

2 x 2 x 3 x 13 x 61 x 9 x 269 x 151 x 5 = 17393868180

Therefore, the lowest common multiple of 732,351,269,906,260 is 17393868180.

LCM Formula to Find Lowest Common Multiple of 732,351,269,906,260

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.

732 x 351 x 269 x 906 x 260 = 16280660616480

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.

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

269 : 1, 269

906 : 1, 2, 3, 6, 151, 302, 453, 906

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,351,269,906,260, is 1.

Now, the common factors can be found like this.

732:2x 2x 3x 61

351:3x 3x 3x 13

269:269

906:2x 3x 151

260:2x 2x 5x 13

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 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 16280660616480/(1x936)

LCM = 16280660616480/936

LCM = 17393868180

Thus, we can understand that the LCM of 732,351,269,906,260 is 17393868180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 732, 351, 269, 906, 260

1. What is the LCM of 732, 351, 269, 906, 260?

Answer: LCM of 732, 351, 269, 906, 260 is 17393868180.

2. How to calculate the LCM of 732, 351, 269, 906, 260?

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 732, 351, 269, 906, 260.

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}.