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LCM of 442, 144, 798

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


Find the LCM of 442, 144, 798 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, 144, 798. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,144,798

Given numbers are 442,144,798

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

The LCM of 442,144,798 is 4232592.

Find LCM of 442,144,798 with Prime Factorization


2 442, 144, 798
3 221, 72, 399
221, 24, 133

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

2 x 3 x 221 x 24 x 133 = 4232592

Therefore, the lowest common multiple of 442,144,798 is 4232592.

LCM Formula to Find Lowest Common Multiple of 442,144,798

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 144 x 798 = 50791104

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

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,144,798, is 2.

Now, the common factors can be found like this.

442:2x 13x 17

144:2x 2x 2x 2x 3x 3

798:2x 3x 7x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 50791104/(2x6)

LCM = 50791104/12

LCM = 4232592

Thus, we can understand that the LCM of 442,144,798 is 4232592.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 442, 144, 798

1. What is the LCM of 442, 144, 798?

Answer: LCM of 442, 144, 798 is 4232592.

2. How to calculate the LCM of 442, 144, 798?

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, 144, 798.

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}.