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LCM of 482, 646, 772, 756

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


Find the LCM of 482, 646, 772, 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 482, 646, 772, 756. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 482,646,772,756

Given numbers are 482,646,772,756

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

The LCM of 482,646,772,756 is 11357916444.

Find LCM of 482,646,772,756 with Prime Factorization


2 482, 646, 772, 756
2 241, 323, 386, 378
241, 323, 193, 189

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

2 x 2 x 241 x 323 x 193 x 189 = 11357916444

Therefore, the lowest common multiple of 482,646,772,756 is 11357916444.

LCM Formula to Find Lowest Common Multiple of 482,646,772,756

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.

482 x 646 x 772 x 756 = 181726663104

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.

482 : 1, 2, 241, 482

646 : 1, 2, 17, 19, 34, 38, 323, 646

772 : 1, 2, 4, 193, 386, 772

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 482,646,772,756, is 2.

Now, the common factors can be found like this.

482:2x 241

646:2x 17x 19

772:2x 2x 193

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 2 = 8

Therefore, the value for common factors is 8.

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 = 181726663104/(2x8)

LCM = 181726663104/16

LCM = 11357916444

Thus, we can understand that the LCM of 482,646,772,756 is 11357916444.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 482, 646, 772, 756

1. What is the LCM of 482, 646, 772, 756?

Answer: LCM of 482, 646, 772, 756 is 11357916444.

2. How to calculate the LCM of 482, 646, 772, 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 482, 646, 772, 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}.