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LCM of 5349, 1908

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


Find the LCM of 5349, 1908 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 5349, 1908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5349,1908

Given numbers are 5349,1908

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

The LCM of 5349,1908 is 3401964.

Find LCM of 5349,1908 with Prime Factorization


3 5349, 1908
1783, 636

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

3 x 1783 x 636 = 3401964

Therefore, the lowest common multiple of 5349,1908 is 3401964.

LCM Formula to Find Lowest Common Multiple of 5349,1908

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.

5349 x 1908 = 10205892

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.

5349 : 1, 3, 1783, 5349

1908 : 1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5349,1908, is 3.

Now, the common factors can be found like this.

5349:3x 1783

1908:2x 2x 3x 3x 53

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 = 10205892/(3x1)

LCM = 10205892/3

LCM = 3401964

Thus, we can understand that the LCM of 5349,1908 is 3401964.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5349, 1908

1. What is the LCM of 5349, 1908?

Answer: LCM of 5349, 1908 is 3401964.

2. How to calculate the LCM of 5349, 1908?

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 5349, 1908.

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}.