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LCM of 442, 660, 782, 388

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


Find the LCM of 442, 660, 782, 388 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 442, 660, 782, 388. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,660,782,388

Given numbers are 442,660,782,388

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

The LCM of 442,660,782,388 is 325413660.

Find LCM of 442,660,782,388 with Prime Factorization


2 442, 660, 782, 388
2 221, 330, 391, 194
17 221, 165, 391, 97
13, 165, 23, 97

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

2 x 2 x 17 x 13 x 165 x 23 x 97 = 325413660

Therefore, the lowest common multiple of 442,660,782,388 is 325413660.

LCM Formula to Find Lowest Common Multiple of 442,660,782,388

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.

442 x 660 x 782 x 388 = 88512515520

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

782 : 1, 2, 17, 23, 34, 46, 391, 782

388 : 1, 2, 4, 97, 194, 388

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,660,782,388, is 2.

Now, the common factors can be found like this.

442:2x 13x 17

660:2x 2x 3x 5x 11

782:2x 17x 23

388:2x 2x 97

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 17 = 136

Therefore, the value for common factors is 136.

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 = 88512515520/(2x136)

LCM = 88512515520/272

LCM = 325413660

Thus, we can understand that the LCM of 442,660,782,388 is 325413660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 660, 782, 388

1. What is the LCM of 442, 660, 782, 388?

Answer: LCM of 442, 660, 782, 388 is 325413660.

2. How to calculate the LCM of 442, 660, 782, 388?

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 442, 660, 782, 388.

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}.