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LCM of 548, 545, 605, 225

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


Find the LCM of 548, 545, 605, 225 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 548, 545, 605, 225. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 548,545,605,225

Given numbers are 548,545,605,225

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

The LCM of 548,545,605,225 is 1626203700.

Find LCM of 548,545,605,225 with Prime Factorization


5 548, 545, 605, 225
548, 109, 121, 45

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

5 x 548 x 109 x 121 x 45 = 1626203700

Therefore, the lowest common multiple of 548,545,605,225 is 1626203700.

LCM Formula to Find Lowest Common Multiple of 548,545,605,225

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.

548 x 545 x 605 x 225 = 40655092500

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.

548 : 1, 2, 4, 137, 274, 548

545 : 1, 5, 109, 545

605 : 1, 5, 11, 55, 121, 605

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,545,605,225, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

545:5x 109

605:5x 11x 11

225:3x 3x 5x 5

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 40655092500/(1x25)

LCM = 40655092500/25

LCM = 1626203700

Thus, we can understand that the LCM of 548,545,605,225 is 1626203700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 548, 545, 605, 225

1. What is the LCM of 548, 545, 605, 225?

Answer: LCM of 548, 545, 605, 225 is 1626203700.

2. How to calculate the LCM of 548, 545, 605, 225?

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 548, 545, 605, 225.

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}.