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LCM of 1084, 4112

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


Find the LCM of 1084, 4112 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 1084, 4112. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1084,4112

Given numbers are 1084,4112

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

The LCM of 1084,4112 is 1114352.

Find LCM of 1084,4112 with Prime Factorization


2 1084, 4112
2 542, 2056
271, 1028

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

2 x 2 x 271 x 1028 = 1114352

Therefore, the lowest common multiple of 1084,4112 is 1114352.

LCM Formula to Find Lowest Common Multiple of 1084,4112

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.

1084 x 4112 = 4457408

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.

1084 : 1, 2, 4, 271, 542, 1084

4112 : 1, 2, 4, 8, 16, 257, 514, 1028, 2056, 4112

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1084,4112, is 4.

Now, the common factors can be found like this.

1084:2x 2x 271

4112:2x 2x 2x 2x 257

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 = 4457408/(4x1)

LCM = 4457408/4

LCM = 1114352

Thus, we can understand that the LCM of 1084,4112 is 1114352.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1084, 4112

1. What is the LCM of 1084, 4112?

Answer: LCM of 1084, 4112 is 1114352.

2. How to calculate the LCM of 1084, 4112?

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 1084, 4112.

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}.