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LCM of 7606, 3204

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


Find the LCM of 7606, 3204 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 7606, 3204. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7606,3204

Given numbers are 7606,3204

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

The LCM of 7606,3204 is 12184812.

Find LCM of 7606,3204 with Prime Factorization


2 7606, 3204
3803, 1602

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

2 x 3803 x 1602 = 12184812

Therefore, the lowest common multiple of 7606,3204 is 12184812.

LCM Formula to Find Lowest Common Multiple of 7606,3204

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.

7606 x 3204 = 24369624

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.

7606 : 1, 2, 3803, 7606

3204 : 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7606,3204, is 2.

Now, the common factors can be found like this.

7606:2x 3803

3204:2x 2x 3x 3x 89

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 = 24369624/(2x1)

LCM = 24369624/2

LCM = 12184812

Thus, we can understand that the LCM of 7606,3204 is 12184812.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7606, 3204

1. What is the LCM of 7606, 3204?

Answer: LCM of 7606, 3204 is 12184812.

2. How to calculate the LCM of 7606, 3204?

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 7606, 3204.

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}.