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LCM of 996, 756, 216, 128, 241

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


Find the LCM of 996, 756, 216, 128, 241 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 996, 756, 216, 128, 241. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 996,756,216,128,241

Given numbers are 996,756,216,128,241

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

The LCM of 996,756,216,128,241 is 483912576.

Find LCM of 996,756,216,128,241 with Prime Factorization


2 996, 756, 216, 128, 241
2 498, 378, 108, 64, 241
2 249, 189, 54, 32, 241
3 249, 189, 27, 16, 241
3 83, 63, 9, 16, 241
3 83, 21, 3, 16, 241
83, 7, 1, 16, 241

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

2 x 2 x 2 x 3 x 3 x 3 x 83 x 7 x 1 x 16 x 241 = 483912576

Therefore, the lowest common multiple of 996,756,216,128,241 is 483912576.

LCM Formula to Find Lowest Common Multiple of 996,756,216,128,241

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.

996 x 756 x 216 x 128 x 241 = 5017205587968

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,756,216,128,241, is 1.

Now, the common factors can be found like this.

996:2x 2x 3x 83

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

216:2x 2x 2x 3x 3x 3

128:2x 2x 2x 2x 2x 2x 2

241:241

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 2x 2x 2x 2x 3x 3x 3x 3 = 10368

Therefore, the value for common factors is 10368.

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 = 5017205587968/(1x10368)

LCM = 5017205587968/10368

LCM = 483912576

Thus, we can understand that the LCM of 996,756,216,128,241 is 483912576.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 996, 756, 216, 128, 241

1. What is the LCM of 996, 756, 216, 128, 241?

Answer: LCM of 996, 756, 216, 128, 241 is 483912576.

2. How to calculate the LCM of 996, 756, 216, 128, 241?

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 996, 756, 216, 128, 241.

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}.