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LCM of 319, 484, 209, 485

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


Find the LCM of 319, 484, 209, 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 319, 484, 209, 485. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,484,209,485

Given numbers are 319,484,209,485

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

The LCM of 319,484,209,485 is 129341740.

Find LCM of 319,484,209,485 with Prime Factorization


11 319, 484, 209, 485
29, 44, 19, 485

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

11 x 29 x 44 x 19 x 485 = 129341740

Therefore, the lowest common multiple of 319,484,209,485 is 129341740.

LCM Formula to Find Lowest Common Multiple of 319,484,209,485

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.

319 x 484 x 209 x 485 = 15650350540

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.

319 : 1, 11, 29, 319

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

209 : 1, 11, 19, 209

485 : 1, 5, 97, 485

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,484,209,485, is 1.

Now, the common factors can be found like this.

319:11x 29

484:2x 2x 11x 11

209:11x 19

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.

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 = 15650350540/(1x121)

LCM = 15650350540/121

LCM = 129341740

Thus, we can understand that the LCM of 319,484,209,485 is 129341740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 484, 209, 485

1. What is the LCM of 319, 484, 209, 485?

Answer: LCM of 319, 484, 209, 485 is 129341740.

2. How to calculate the LCM of 319, 484, 209, 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 319, 484, 209, 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}.