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 453, 538, 252, 560

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


Find the LCM of 453, 538, 252, 560 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 453, 538, 252, 560. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 453,538,252,560

Given numbers are 453,538,252,560

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

The LCM of 453,538,252,560 is 204719760.

Find LCM of 453,538,252,560 with Prime Factorization


2 453, 538, 252, 560
2 453, 269, 126, 280
3 453, 269, 63, 140
7 151, 269, 21, 140
151, 269, 3, 20

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

2 x 2 x 3 x 7 x 151 x 269 x 3 x 20 = 204719760

Therefore, the lowest common multiple of 453,538,252,560 is 204719760.

LCM Formula to Find Lowest Common Multiple of 453,538,252,560

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.

453 x 538 x 252 x 560 = 34392919680

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.

453 : 1, 3, 151, 453

538 : 1, 2, 269, 538

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,538,252,560, is 1.

Now, the common factors can be found like this.

453:3x 151

538:2x 269

252:2x 2x 3x 3x 7

560:2x 2x 2x 2x 5x 7

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 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 34392919680/(1x168)

LCM = 34392919680/168

LCM = 204719760

Thus, we can understand that the LCM of 453,538,252,560 is 204719760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 453, 538, 252, 560

1. What is the LCM of 453, 538, 252, 560?

Answer: LCM of 453, 538, 252, 560 is 204719760.

2. How to calculate the LCM of 453, 538, 252, 560?

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 453, 538, 252, 560.

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}.