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LCM of 1383, 4149

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


Find the LCM of 1383, 4149 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 1383, 4149. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1383,4149

Given numbers are 1383,4149

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

The LCM of 1383,4149 is 4149.

Find LCM of 1383,4149 with Prime Factorization


3 1383, 4149
461 461, 1383
1, 3

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

3 x 461 x 1 x 3 = 4149

Therefore, the lowest common multiple of 1383,4149 is 4149.

LCM Formula to Find Lowest Common Multiple of 1383,4149

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.

1383 x 4149 = 5738067

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.

1383 : 1, 3, 461, 1383

4149 : 1, 3, 9, 461, 1383, 4149

1383 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1383,4149, is 1383.

Now, the common factors can be found like this.

1383:3x 461

4149:3x 3x 461

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 = 5738067/(1383x1)

LCM = 5738067/1383

LCM = 4149

Thus, we can understand that the LCM of 1383,4149 is 4149.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1383, 4149

1. What is the LCM of 1383, 4149?

Answer: LCM of 1383, 4149 is 4149.

2. How to calculate the LCM of 1383, 4149?

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 1383, 4149.

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}.