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LCM of 533, 610, 221, 678, 187

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


Find the LCM of 533, 610, 221, 678, 187 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 533, 610, 221, 678, 187. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 533,610,221,678,187

Given numbers are 533,610,221,678,187

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

The LCM of 533,610,221,678,187 is 20610966090.

Find LCM of 533,610,221,678,187 with Prime Factorization


2 533, 610, 221, 678, 187
13 533, 305, 221, 339, 187
17 41, 305, 17, 339, 187
41, 305, 1, 339, 11

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

2 x 13 x 17 x 41 x 305 x 1 x 339 x 11 = 20610966090

Therefore, the lowest common multiple of 533,610,221,678,187 is 20610966090.

LCM Formula to Find Lowest Common Multiple of 533,610,221,678,187

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.

533 x 610 x 221 x 678 x 187 = 9110047011780

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.

533 : 1, 13, 41, 533

610 : 1, 2, 5, 10, 61, 122, 305, 610

221 : 1, 13, 17, 221

678 : 1, 2, 3, 6, 113, 226, 339, 678

187 : 1, 11, 17, 187

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,610,221,678,187, is 1.

Now, the common factors can be found like this.

533:13x 41

610:2x 5x 61

221:13x 17

678:2x 3x 113

187:11x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13x 17 = 442

Therefore, the value for common factors is 442.

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 = 9110047011780/(1x442)

LCM = 9110047011780/442

LCM = 20610966090

Thus, we can understand that the LCM of 533,610,221,678,187 is 20610966090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 533, 610, 221, 678, 187

1. What is the LCM of 533, 610, 221, 678, 187?

Answer: LCM of 533, 610, 221, 678, 187 is 20610966090.

2. How to calculate the LCM of 533, 610, 221, 678, 187?

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 533, 610, 221, 678, 187.

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}.