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LCM of 112, 911, 442, 204, 733

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


Find the LCM of 112, 911, 442, 204, 733 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 112, 911, 442, 204, 733. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 112,911,442,204,733

Given numbers are 112,911,442,204,733

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

The LCM of 112,911,442,204,733 is 49585409328.

Find LCM of 112,911,442,204,733 with Prime Factorization


2 112, 911, 442, 204, 733
2 56, 911, 221, 102, 733
17 28, 911, 221, 51, 733
28, 911, 13, 3, 733

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

2 x 2 x 17 x 28 x 911 x 13 x 3 x 733 = 49585409328

Therefore, the lowest common multiple of 112,911,442,204,733 is 49585409328.

LCM Formula to Find Lowest Common Multiple of 112,911,442,204,733

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.

112 x 911 x 442 x 204 x 733 = 6743615668608

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.

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

911 : 1, 911

442 : 1, 2, 13, 17, 26, 34, 221, 442

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

733 : 1, 733

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,911,442,204,733, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

911:911

442:2x 13x 17

204:2x 2x 3x 17

733:733

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 17 = 136

Therefore, the value for common factors is 136.

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 = 6743615668608/(1x136)

LCM = 6743615668608/136

LCM = 49585409328

Thus, we can understand that the LCM of 112,911,442,204,733 is 49585409328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 112, 911, 442, 204, 733

1. What is the LCM of 112, 911, 442, 204, 733?

Answer: LCM of 112, 911, 442, 204, 733 is 49585409328.

2. How to calculate the LCM of 112, 911, 442, 204, 733?

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 112, 911, 442, 204, 733.

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}.