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LCM of 3516, 7983

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


Find the LCM of 3516, 7983 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 3516, 7983. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3516,7983

Given numbers are 3516,7983

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

The LCM of 3516,7983 is 9356076.

Find LCM of 3516,7983 with Prime Factorization


3 3516, 7983
1172, 2661

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

3 x 1172 x 2661 = 9356076

Therefore, the lowest common multiple of 3516,7983 is 9356076.

LCM Formula to Find Lowest Common Multiple of 3516,7983

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.

3516 x 7983 = 28068228

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.

3516 : 1, 2, 3, 4, 6, 12, 293, 586, 879, 1172, 1758, 3516

7983 : 1, 3, 9, 887, 2661, 7983

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3516,7983, is 3.

Now, the common factors can be found like this.

3516:2x 2x 3x 293

7983:3x 3x 887

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 = 28068228/(3x1)

LCM = 28068228/3

LCM = 9356076

Thus, we can understand that the LCM of 3516,7983 is 9356076.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3516, 7983

1. What is the LCM of 3516, 7983?

Answer: LCM of 3516, 7983 is 9356076.

2. How to calculate the LCM of 3516, 7983?

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 3516, 7983.

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}.