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LCM of 814, 195, 571, 286, 485

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


Find the LCM of 814, 195, 571, 286, 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 814, 195, 571, 286, 485. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,195,571,286,485

Given numbers are 814,195,571,286,485

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

The LCM of 814,195,571,286,485 is 8791578510.

Find LCM of 814,195,571,286,485 with Prime Factorization


2 814, 195, 571, 286, 485
5 407, 195, 571, 143, 485
11 407, 39, 571, 143, 97
13 37, 39, 571, 13, 97
37, 3, 571, 1, 97

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

2 x 5 x 11 x 13 x 37 x 3 x 571 x 1 x 97 = 8791578510

Therefore, the lowest common multiple of 814,195,571,286,485 is 8791578510.

LCM Formula to Find Lowest Common Multiple of 814,195,571,286,485

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.

814 x 195 x 571 x 286 x 485 = 12571957269300

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

195 : 1, 3, 5, 13, 15, 39, 65, 195

571 : 1, 571

286 : 1, 2, 11, 13, 22, 26, 143, 286

485 : 1, 5, 97, 485

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,195,571,286,485, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

195:3x 5x 13

571:571

286:2x 11x 13

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.

2x 5x 11x 13 = 1430

Therefore, the value for common factors is 1430.

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 = 12571957269300/(1x1430)

LCM = 12571957269300/1430

LCM = 8791578510

Thus, we can understand that the LCM of 814,195,571,286,485 is 8791578510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 195, 571, 286, 485

1. What is the LCM of 814, 195, 571, 286, 485?

Answer: LCM of 814, 195, 571, 286, 485 is 8791578510.

2. How to calculate the LCM of 814, 195, 571, 286, 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 814, 195, 571, 286, 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}.