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LCM of 442, 992, 373, 286

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


Find the LCM of 442, 992, 373, 286 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, 992, 373, 286. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,992,373,286

Given numbers are 442,992,373,286

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

The LCM of 442,992,373,286 is 899508896.

Find LCM of 442,992,373,286 with Prime Factorization


2 442, 992, 373, 286
13 221, 496, 373, 143
17, 496, 373, 11

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

2 x 13 x 17 x 496 x 373 x 11 = 899508896

Therefore, the lowest common multiple of 442,992,373,286 is 899508896.

LCM Formula to Find Lowest Common Multiple of 442,992,373,286

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 992 x 373 x 286 = 46774462592

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

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

373 : 1, 373

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,992,373,286, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

992:2x 2x 2x 2x 2x 31

373:373

286:2x 11x 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 13 = 52

Therefore, the value for common factors is 52.

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 = 46774462592/(1x52)

LCM = 46774462592/52

LCM = 899508896

Thus, we can understand that the LCM of 442,992,373,286 is 899508896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 992, 373, 286

1. What is the LCM of 442, 992, 373, 286?

Answer: LCM of 442, 992, 373, 286 is 899508896.

2. How to calculate the LCM of 442, 992, 373, 286?

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, 992, 373, 286.

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}.