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LCM of 4202, 3784

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


Find the LCM of 4202, 3784 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 4202, 3784. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4202,3784

Given numbers are 4202,3784

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

The LCM of 4202,3784 is 722744.

Find LCM of 4202,3784 with Prime Factorization


2 4202, 3784
11 2101, 1892
191, 172

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

2 x 11 x 191 x 172 = 722744

Therefore, the lowest common multiple of 4202,3784 is 722744.

LCM Formula to Find Lowest Common Multiple of 4202,3784

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.

4202 x 3784 = 15900368

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.

4202 : 1, 2, 11, 22, 191, 382, 2101, 4202

3784 : 1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784

22 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4202,3784, is 22.

Now, the common factors can be found like this.

4202:2x 11x 191

3784:2x 2x 2x 11x 43

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 = 15900368/(22x1)

LCM = 15900368/22

LCM = 722744

Thus, we can understand that the LCM of 4202,3784 is 722744.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4202, 3784

1. What is the LCM of 4202, 3784?

Answer: LCM of 4202, 3784 is 722744.

2. How to calculate the LCM of 4202, 3784?

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 4202, 3784.

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}.