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LCM of 442, 412, 206, 756

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


Find the LCM of 442, 412, 206, 756 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, 412, 206, 756. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,412,206,756

Given numbers are 442,412,206,756

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

The LCM of 442,412,206,756 is 17208828.

Find LCM of 442,412,206,756 with Prime Factorization


2 442, 412, 206, 756
2 221, 206, 103, 378
103 221, 103, 103, 189
221, 1, 1, 189

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

2 x 2 x 103 x 221 x 1 x 1 x 189 = 17208828

Therefore, the lowest common multiple of 442,412,206,756 is 17208828.

LCM Formula to Find Lowest Common Multiple of 442,412,206,756

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 412 x 206 x 756 = 28360148544

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

412 : 1, 2, 4, 103, 206, 412

206 : 1, 2, 103, 206

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,412,206,756, is 2.

Now, the common factors can be found like this.

442:2x 13x 17

412:2x 2x 103

206:2x 103

756:2x 2x 3x 3x 3x 7

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 103 = 824

Therefore, the value for common factors is 824.

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 = 28360148544/(2x824)

LCM = 28360148544/1648

LCM = 17208828

Thus, we can understand that the LCM of 442,412,206,756 is 17208828.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 412, 206, 756

1. What is the LCM of 442, 412, 206, 756?

Answer: LCM of 442, 412, 206, 756 is 17208828.

2. How to calculate the LCM of 442, 412, 206, 756?

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, 412, 206, 756.

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}.