LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 528, 274, 548, 481

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


Find the LCM of 528, 274, 548, 481 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 528, 274, 548, 481. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 528,274,548,481

Given numbers are 528,274,548,481

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

The LCM of 528,274,548,481 is 34793616.

Find LCM of 528,274,548,481 with Prime Factorization


2 528, 274, 548, 481
2 264, 137, 274, 481
137 132, 137, 137, 481
132, 1, 1, 481

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

2 x 2 x 137 x 132 x 1 x 1 x 481 = 34793616

Therefore, the lowest common multiple of 528,274,548,481 is 34793616.

LCM Formula to Find Lowest Common Multiple of 528,274,548,481

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.

528 x 274 x 548 x 481 = 38133803136

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

274 : 1, 2, 137, 274

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

481 : 1, 13, 37, 481

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,274,548,481, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

274:2x 137

548:2x 2x 137

481:13x 37

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 137 = 1096

Therefore, the value for common factors is 1096.

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 = 38133803136/(1x1096)

LCM = 38133803136/1096

LCM = 34793616

Thus, we can understand that the LCM of 528,274,548,481 is 34793616.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 528, 274, 548, 481

1. What is the LCM of 528, 274, 548, 481?

Answer: LCM of 528, 274, 548, 481 is 34793616.

2. How to calculate the LCM of 528, 274, 548, 481?

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 528, 274, 548, 481.

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}.