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LCM of 4119, 1116

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


Find the LCM of 4119, 1116 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 4119, 1116. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4119,1116

Given numbers are 4119,1116

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

The LCM of 4119,1116 is 1532268.

Find LCM of 4119,1116 with Prime Factorization


3 4119, 1116
1373, 372

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

3 x 1373 x 372 = 1532268

Therefore, the lowest common multiple of 4119,1116 is 1532268.

LCM Formula to Find Lowest Common Multiple of 4119,1116

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.

4119 x 1116 = 4596804

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.

4119 : 1, 3, 1373, 4119

1116 : 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4119,1116, is 3.

Now, the common factors can be found like this.

4119:3x 1373

1116:2x 2x 3x 3x 31

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 = 4596804/(3x1)

LCM = 4596804/3

LCM = 1532268

Thus, we can understand that the LCM of 4119,1116 is 1532268.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4119, 1116

1. What is the LCM of 4119, 1116?

Answer: LCM of 4119, 1116 is 1532268.

2. How to calculate the LCM of 4119, 1116?

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 4119, 1116.

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}.