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LCM of 431, 562, 548, 485

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


Find the LCM of 431, 562, 548, 485 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 431, 562, 548, 485. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 431,562,548,485

Given numbers are 431,562,548,485

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

The LCM of 431,562,548,485 is 32188881580.

Find LCM of 431,562,548,485 with Prime Factorization


2 431, 562, 548, 485
431, 281, 274, 485

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

2 x 431 x 281 x 274 x 485 = 32188881580

Therefore, the lowest common multiple of 431,562,548,485 is 32188881580.

LCM Formula to Find Lowest Common Multiple of 431,562,548,485

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.

431 x 562 x 548 x 485 = 64377763160

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.

431 : 1, 431

562 : 1, 2, 281, 562

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

485 : 1, 5, 97, 485

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,562,548,485, is 1.

Now, the common factors can be found like this.

431:431

562:2x 281

548:2x 2x 137

485:5x 97

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

2 = 2

Therefore, the value for common factors is 2.

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 = 64377763160/(1x2)

LCM = 64377763160/2

LCM = 32188881580

Thus, we can understand that the LCM of 431,562,548,485 is 32188881580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 431, 562, 548, 485

1. What is the LCM of 431, 562, 548, 485?

Answer: LCM of 431, 562, 548, 485 is 32188881580.

2. How to calculate the LCM of 431, 562, 548, 485?

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 431, 562, 548, 485.

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}.