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LCM of 3567, 7389

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


Find the LCM of 3567, 7389 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 3567, 7389. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3567,7389

Given numbers are 3567,7389

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

The LCM of 3567,7389 is 8785521.

Find LCM of 3567,7389 with Prime Factorization


3 3567, 7389
1189, 2463

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

3 x 1189 x 2463 = 8785521

Therefore, the lowest common multiple of 3567,7389 is 8785521.

LCM Formula to Find Lowest Common Multiple of 3567,7389

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.

3567 x 7389 = 26356563

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.

3567 : 1, 3, 29, 41, 87, 123, 1189, 3567

7389 : 1, 3, 9, 821, 2463, 7389

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3567,7389, is 3.

Now, the common factors can be found like this.

3567:3x 29x 41

7389:3x 3x 821

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 = 26356563/(3x1)

LCM = 26356563/3

LCM = 8785521

Thus, we can understand that the LCM of 3567,7389 is 8785521.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3567, 7389

1. What is the LCM of 3567, 7389?

Answer: LCM of 3567, 7389 is 8785521.

2. How to calculate the LCM of 3567, 7389?

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 3567, 7389.

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}.