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LCM of 3291, 1098

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


Find the LCM of 3291, 1098 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 3291, 1098. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3291,1098

Given numbers are 3291,1098

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

The LCM of 3291,1098 is 1204506.

Find LCM of 3291,1098 with Prime Factorization


3 3291, 1098
1097, 366

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

3 x 1097 x 366 = 1204506

Therefore, the lowest common multiple of 3291,1098 is 1204506.

LCM Formula to Find Lowest Common Multiple of 3291,1098

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.

3291 x 1098 = 3613518

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.

3291 : 1, 3, 1097, 3291

1098 : 1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3291,1098, is 3.

Now, the common factors can be found like this.

3291:3x 1097

1098:2x 3x 3x 61

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 = 3613518/(3x1)

LCM = 3613518/3

LCM = 1204506

Thus, we can understand that the LCM of 3291,1098 is 1204506.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3291, 1098

1. What is the LCM of 3291, 1098?

Answer: LCM of 3291, 1098 is 1204506.

2. How to calculate the LCM of 3291, 1098?

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 3291, 1098.

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}.