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LCM of 3723, 3128

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


Find the LCM of 3723, 3128 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 3723, 3128. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3723,3128

Given numbers are 3723,3128

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

The LCM of 3723,3128 is 685032.

Find LCM of 3723,3128 with Prime Factorization


17 3723, 3128
219, 184

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

17 x 219 x 184 = 685032

Therefore, the lowest common multiple of 3723,3128 is 685032.

LCM Formula to Find Lowest Common Multiple of 3723,3128

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.

3723 x 3128 = 11645544

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.

3723 : 1, 3, 17, 51, 73, 219, 1241, 3723

3128 : 1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 782, 1564, 3128

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3723,3128, is 17.

Now, the common factors can be found like this.

3723:3x 17x 73

3128:2x 2x 2x 17x 23

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 = 11645544/(17x1)

LCM = 11645544/17

LCM = 685032

Thus, we can understand that the LCM of 3723,3128 is 685032.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3723, 3128

1. What is the LCM of 3723, 3128?

Answer: LCM of 3723, 3128 is 685032.

2. How to calculate the LCM of 3723, 3128?

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 3723, 3128.

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}.