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LCM of 855, 550, 567, 285, 241

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


Find the LCM of 855, 550, 567, 285, 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 855, 550, 567, 285, 241. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 855,550,567,285,241

Given numbers are 855,550,567,285,241

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

The LCM of 855,550,567,285,241 is 1427961150.

Find LCM of 855,550,567,285,241 with Prime Factorization


3 855, 550, 567, 285, 241
3 285, 550, 189, 95, 241
5 95, 550, 63, 95, 241
19 19, 110, 63, 19, 241
1, 110, 63, 1, 241

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

3 x 3 x 5 x 19 x 1 x 110 x 63 x 1 x 241 = 1427961150

Therefore, the lowest common multiple of 855,550,567,285,241 is 1427961150.

LCM Formula to Find Lowest Common Multiple of 855,550,567,285,241

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.

855 x 550 x 567 x 285 x 241 = 18313601748750

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.

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

285 : 1, 3, 5, 15, 19, 57, 95, 285

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,550,567,285,241, is 1.

Now, the common factors can be found like this.

855:3x 3x 5x 19

550:2x 5x 5x 11

567:3x 3x 3x 3x 7

285:3x 5x 19

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.

3x 3x 3x 5x 5x 19 = 12825

Therefore, the value for common factors is 12825.

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 = 18313601748750/(1x12825)

LCM = 18313601748750/12825

LCM = 1427961150

Thus, we can understand that the LCM of 855,550,567,285,241 is 1427961150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 855, 550, 567, 285, 241

1. What is the LCM of 855, 550, 567, 285, 241?

Answer: LCM of 855, 550, 567, 285, 241 is 1427961150.

2. How to calculate the LCM of 855, 550, 567, 285, 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 855, 550, 567, 285, 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}.