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LCM of 7326, 3993

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


Find the LCM of 7326, 3993 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 7326, 3993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7326,3993

Given numbers are 7326,3993

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

The LCM of 7326,3993 is 886446.

Find LCM of 7326,3993 with Prime Factorization


3 7326, 3993
11 2442, 1331
222, 121

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

3 x 11 x 222 x 121 = 886446

Therefore, the lowest common multiple of 7326,3993 is 886446.

LCM Formula to Find Lowest Common Multiple of 7326,3993

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.

7326 x 3993 = 29252718

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.

7326 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 198, 222, 333, 407, 666, 814, 1221, 2442, 3663, 7326

3993 : 1, 3, 11, 33, 121, 363, 1331, 3993

33 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7326,3993, is 33.

Now, the common factors can be found like this.

7326:2x 3x 3x 11x 37

3993:3x 11x 11x 11

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 = 29252718/(33x1)

LCM = 29252718/33

LCM = 886446

Thus, we can understand that the LCM of 7326,3993 is 886446.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7326, 3993

1. What is the LCM of 7326, 3993?

Answer: LCM of 7326, 3993 is 886446.

2. How to calculate the LCM of 7326, 3993?

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 7326, 3993.

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}.