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LCM of 484, 799, 512, 756

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


Find the LCM of 484, 799, 512, 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 484, 799, 512, 756. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,799,512,756

Given numbers are 484,799,512,756

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

The LCM of 484,799,512,756 is 9355433472.

Find LCM of 484,799,512,756 with Prime Factorization


2 484, 799, 512, 756
2 242, 799, 256, 378
121, 799, 128, 189

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

2 x 2 x 121 x 799 x 128 x 189 = 9355433472

Therefore, the lowest common multiple of 484,799,512,756 is 9355433472.

LCM Formula to Find Lowest Common Multiple of 484,799,512,756

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.

484 x 799 x 512 x 756 = 149686935552

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

799 : 1, 17, 47, 799

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,799,512,756, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

799:17x 47

512:2x 2x 2x 2x 2x 2x 2x 2x 2

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 2 = 16

Therefore, the value for common factors is 16.

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 = 149686935552/(1x16)

LCM = 149686935552/16

LCM = 9355433472

Thus, we can understand that the LCM of 484,799,512,756 is 9355433472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 799, 512, 756

1. What is the LCM of 484, 799, 512, 756?

Answer: LCM of 484, 799, 512, 756 is 9355433472.

2. How to calculate the LCM of 484, 799, 512, 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 484, 799, 512, 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}.