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LCM of 6892, 3208

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


Find the LCM of 6892, 3208 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 6892, 3208. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6892,3208

Given numbers are 6892,3208

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

The LCM of 6892,3208 is 5527384.

Find LCM of 6892,3208 with Prime Factorization


2 6892, 3208
2 3446, 1604
1723, 802

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

2 x 2 x 1723 x 802 = 5527384

Therefore, the lowest common multiple of 6892,3208 is 5527384.

LCM Formula to Find Lowest Common Multiple of 6892,3208

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.

6892 x 3208 = 22109536

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.

6892 : 1, 2, 4, 1723, 3446, 6892

3208 : 1, 2, 4, 8, 401, 802, 1604, 3208

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6892,3208, is 4.

Now, the common factors can be found like this.

6892:2x 2x 1723

3208:2x 2x 2x 401

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 = 22109536/(4x1)

LCM = 22109536/4

LCM = 5527384

Thus, we can understand that the LCM of 6892,3208 is 5527384.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6892, 3208

1. What is the LCM of 6892, 3208?

Answer: LCM of 6892, 3208 is 5527384.

2. How to calculate the LCM of 6892, 3208?

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 6892, 3208.

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}.