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LCM of 322, 604, 727, 627, 485

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


Find the LCM of 322, 604, 727, 627, 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 322, 604, 727, 627, 485. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 322,604,727,627,485

Given numbers are 322,604,727,627,485

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

The LCM of 322,604,727,627,485 is 21498418108860.

Find LCM of 322,604,727,627,485 with Prime Factorization


2 322, 604, 727, 627, 485
161, 302, 727, 627, 485

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

2 x 161 x 302 x 727 x 627 x 485 = 21498418108860

Therefore, the lowest common multiple of 322,604,727,627,485 is 21498418108860.

LCM Formula to Find Lowest Common Multiple of 322,604,727,627,485

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.

322 x 604 x 727 x 627 x 485 = 42996836217720

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

604 : 1, 2, 4, 151, 302, 604

727 : 1, 727

627 : 1, 3, 11, 19, 33, 57, 209, 627

485 : 1, 5, 97, 485

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,604,727,627,485, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

604:2x 2x 151

727:727

627:3x 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.

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 = 42996836217720/(1x2)

LCM = 42996836217720/2

LCM = 21498418108860

Thus, we can understand that the LCM of 322,604,727,627,485 is 21498418108860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 322, 604, 727, 627, 485

1. What is the LCM of 322, 604, 727, 627, 485?

Answer: LCM of 322, 604, 727, 627, 485 is 21498418108860.

2. How to calculate the LCM of 322, 604, 727, 627, 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 322, 604, 727, 627, 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}.