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LCM of 3287, 7612

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


Find the LCM of 3287, 7612 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 3287, 7612. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3287,7612

Given numbers are 3287,7612

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

The LCM of 3287,7612 is 144628.

Find LCM of 3287,7612 with Prime Factorization


173 3287, 7612
19, 44

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

173 x 19 x 44 = 144628

Therefore, the lowest common multiple of 3287,7612 is 144628.

LCM Formula to Find Lowest Common Multiple of 3287,7612

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.

3287 x 7612 = 25020644

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.

3287 : 1, 19, 173, 3287

7612 : 1, 2, 4, 11, 22, 44, 173, 346, 692, 1903, 3806, 7612

173 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3287,7612, is 173.

Now, the common factors can be found like this.

3287:19x 173

7612:2x 2x 11x 173

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 = 25020644/(173x1)

LCM = 25020644/173

LCM = 144628

Thus, we can understand that the LCM of 3287,7612 is 144628.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3287, 7612

1. What is the LCM of 3287, 7612?

Answer: LCM of 3287, 7612 is 144628.

2. How to calculate the LCM of 3287, 7612?

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 3287, 7612.

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}.