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LCM of 3575, 5675

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


Find the LCM of 3575, 5675 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 3575, 5675. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3575,5675

Given numbers are 3575,5675

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

The LCM of 3575,5675 is 811525.

Find LCM of 3575,5675 with Prime Factorization


5 3575, 5675
5 715, 1135
143, 227

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

5 x 5 x 143 x 227 = 811525

Therefore, the lowest common multiple of 3575,5675 is 811525.

LCM Formula to Find Lowest Common Multiple of 3575,5675

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.

3575 x 5675 = 20288125

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.

3575 : 1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575

5675 : 1, 5, 25, 227, 1135, 5675

25 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3575,5675, is 25.

Now, the common factors can be found like this.

3575:5x 5x 11x 13

5675:5x 5x 227

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 = 20288125/(25x1)

LCM = 20288125/25

LCM = 811525

Thus, we can understand that the LCM of 3575,5675 is 811525.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3575, 5675

1. What is the LCM of 3575, 5675?

Answer: LCM of 3575, 5675 is 811525.

2. How to calculate the LCM of 3575, 5675?

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 3575, 5675.

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}.