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LCM of 733, 727, 936, 104, 547

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


Find the LCM of 733, 727, 936, 104, 547 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 733, 727, 936, 104, 547. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 733,727,936,104,547

Given numbers are 733,727,936,104,547

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

The LCM of 733,727,936,104,547 is 272835928872.

Find LCM of 733,727,936,104,547 with Prime Factorization


2 733, 727, 936, 104, 547
2 733, 727, 468, 52, 547
2 733, 727, 234, 26, 547
13 733, 727, 117, 13, 547
733, 727, 9, 1, 547

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

2 x 2 x 2 x 13 x 733 x 727 x 9 x 1 x 547 = 272835928872

Therefore, the lowest common multiple of 733,727,936,104,547 is 272835928872.

LCM Formula to Find Lowest Common Multiple of 733,727,936,104,547

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.

733 x 727 x 936 x 104 x 547 = 28374936602688

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.

733 : 1, 733

727 : 1, 727

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

104 : 1, 2, 4, 8, 13, 26, 52, 104

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,727,936,104,547, is 1.

Now, the common factors can be found like this.

733:733

727:727

936:2x 2x 2x 3x 3x 13

104:2x 2x 2x 13

547:547

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 13 = 104

Therefore, the value for common factors is 104.

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 = 28374936602688/(1x104)

LCM = 28374936602688/104

LCM = 272835928872

Thus, we can understand that the LCM of 733,727,936,104,547 is 272835928872.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 733, 727, 936, 104, 547

1. What is the LCM of 733, 727, 936, 104, 547?

Answer: LCM of 733, 727, 936, 104, 547 is 272835928872.

2. How to calculate the LCM of 733, 727, 936, 104, 547?

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 733, 727, 936, 104, 547.

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}.