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LCM of 224, 533, 368, 733

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


Find the LCM of 224, 533, 368, 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 224, 533, 368, 733. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 224,533,368,733

Given numbers are 224,533,368,733

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

The LCM of 224,533,368,733 is 2012829728.

Find LCM of 224,533,368,733 with Prime Factorization


2 224, 533, 368, 733
2 112, 533, 184, 733
2 56, 533, 92, 733
2 28, 533, 46, 733
14, 533, 23, 733

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

2 x 2 x 2 x 2 x 14 x 533 x 23 x 733 = 2012829728

Therefore, the lowest common multiple of 224,533,368,733 is 2012829728.

LCM Formula to Find Lowest Common Multiple of 224,533,368,733

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.

224 x 533 x 368 x 733 = 32205275648

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

533 : 1, 13, 41, 533

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

733 : 1, 733

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,533,368,733, is 1.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

533:13x 41

368:2x 2x 2x 2x 23

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 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 = 32205275648/(1x16)

LCM = 32205275648/16

LCM = 2012829728

Thus, we can understand that the LCM of 224,533,368,733 is 2012829728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 224, 533, 368, 733

1. What is the LCM of 224, 533, 368, 733?

Answer: LCM of 224, 533, 368, 733 is 2012829728.

2. How to calculate the LCM of 224, 533, 368, 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 224, 533, 368, 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}.