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LCM of 8485, 5475

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


Find the LCM of 8485, 5475 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 8485, 5475. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8485,5475

Given numbers are 8485,5475

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

The LCM of 8485,5475 is 9291075.

Find LCM of 8485,5475 with Prime Factorization


5 8485, 5475
1697, 1095

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

5 x 1697 x 1095 = 9291075

Therefore, the lowest common multiple of 8485,5475 is 9291075.

LCM Formula to Find Lowest Common Multiple of 8485,5475

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.

8485 x 5475 = 46455375

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.

8485 : 1, 5, 1697, 8485

5475 : 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8485,5475, is 5.

Now, the common factors can be found like this.

8485:5x 1697

5475:3x 5x 5x 73

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

= 1

Therefore, the value for common factors is 1.

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 = 46455375/(5x1)

LCM = 46455375/5

LCM = 9291075

Thus, we can understand that the LCM of 8485,5475 is 9291075.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8485, 5475

1. What is the LCM of 8485, 5475?

Answer: LCM of 8485, 5475 is 9291075.

2. How to calculate the LCM of 8485, 5475?

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 8485, 5475.

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}.