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LCM of 1989, 5493

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


Find the LCM of 1989, 5493 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 1989, 5493. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1989,5493

Given numbers are 1989,5493

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

The LCM of 1989,5493 is 3641859.

Find LCM of 1989,5493 with Prime Factorization


3 1989, 5493
663, 1831

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

3 x 663 x 1831 = 3641859

Therefore, the lowest common multiple of 1989,5493 is 3641859.

LCM Formula to Find Lowest Common Multiple of 1989,5493

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.

1989 x 5493 = 10925577

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.

1989 : 1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 663, 1989

5493 : 1, 3, 1831, 5493

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1989,5493, is 3.

Now, the common factors can be found like this.

1989:3x 3x 13x 17

5493:3x 1831

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 = 10925577/(3x1)

LCM = 10925577/3

LCM = 3641859

Thus, we can understand that the LCM of 1989,5493 is 3641859.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1989, 5493

1. What is the LCM of 1989, 5493?

Answer: LCM of 1989, 5493 is 3641859.

2. How to calculate the LCM of 1989, 5493?

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 1989, 5493.

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}.