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LCM of 8476, 1652

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


Find the LCM of 8476, 1652 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 8476, 1652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8476,1652

Given numbers are 8476,1652

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

The LCM of 8476,1652 is 3500588.

Find LCM of 8476,1652 with Prime Factorization


2 8476, 1652
2 4238, 826
2119, 413

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

2 x 2 x 2119 x 413 = 3500588

Therefore, the lowest common multiple of 8476,1652 is 3500588.

LCM Formula to Find Lowest Common Multiple of 8476,1652

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.

8476 x 1652 = 14002352

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.

8476 : 1, 2, 4, 13, 26, 52, 163, 326, 652, 2119, 4238, 8476

1652 : 1, 2, 4, 7, 14, 28, 59, 118, 236, 413, 826, 1652

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8476,1652, is 4.

Now, the common factors can be found like this.

8476:2x 2x 13x 163

1652:2x 2x 7x 59

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 = 14002352/(4x1)

LCM = 14002352/4

LCM = 3500588

Thus, we can understand that the LCM of 8476,1652 is 3500588.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8476, 1652

1. What is the LCM of 8476, 1652?

Answer: LCM of 8476, 1652 is 3500588.

2. How to calculate the LCM of 8476, 1652?

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 8476, 1652.

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}.