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 548, 253, 517, 451

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


Find the LCM of 548, 253, 517, 451 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, 253, 517, 451. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 548,253,517,451

Given numbers are 548,253,517,451

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

The LCM of 548,253,517,451 is 267166988.

Find LCM of 548,253,517,451 with Prime Factorization


11 548, 253, 517, 451
548, 23, 47, 41

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

11 x 548 x 23 x 47 x 41 = 267166988

Therefore, the lowest common multiple of 548,253,517,451 is 267166988.

LCM Formula to Find Lowest Common Multiple of 548,253,517,451

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 253 x 517 x 451 = 32327205548

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

253 : 1, 11, 23, 253

517 : 1, 11, 47, 517

451 : 1, 11, 41, 451

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,253,517,451, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

253:11x 23

517:11x 47

451:11x 41

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 32327205548/(1x121)

LCM = 32327205548/121

LCM = 267166988

Thus, we can understand that the LCM of 548,253,517,451 is 267166988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 548, 253, 517, 451

1. What is the LCM of 548, 253, 517, 451?

Answer: LCM of 548, 253, 517, 451 is 267166988.

2. How to calculate the LCM of 548, 253, 517, 451?

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, 253, 517, 451.

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}.