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LCM of 3723, 1017

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


Find the LCM of 3723, 1017 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, 1017. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3723,1017

Given numbers are 3723,1017

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

The LCM of 3723,1017 is 1262097.

Find LCM of 3723,1017 with Prime Factorization


3 3723, 1017
1241, 339

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

3 x 1241 x 339 = 1262097

Therefore, the lowest common multiple of 3723,1017 is 1262097.

LCM Formula to Find Lowest Common Multiple of 3723,1017

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 1017 = 3786291

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

1017 : 1, 3, 9, 113, 339, 1017

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3723,1017, is 3.

Now, the common factors can be found like this.

3723:3x 17x 73

1017:3x 3x 113

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 = 3786291/(3x1)

LCM = 3786291/3

LCM = 1262097

Thus, we can understand that the LCM of 3723,1017 is 1262097.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3723, 1017

1. What is the LCM of 3723, 1017?

Answer: LCM of 3723, 1017 is 1262097.

2. How to calculate the LCM of 3723, 1017?

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, 1017.

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}.