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LCM of 3685, 5764

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


Find the LCM of 3685, 5764 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 3685, 5764. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3685,5764

Given numbers are 3685,5764

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

The LCM of 3685,5764 is 1930940.

Find LCM of 3685,5764 with Prime Factorization


11 3685, 5764
335, 524

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

11 x 335 x 524 = 1930940

Therefore, the lowest common multiple of 3685,5764 is 1930940.

LCM Formula to Find Lowest Common Multiple of 3685,5764

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.

3685 x 5764 = 21240340

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.

3685 : 1, 5, 11, 55, 67, 335, 737, 3685

5764 : 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3685,5764, is 11.

Now, the common factors can be found like this.

3685:5x 11x 67

5764:2x 2x 11x 131

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 = 21240340/(11x1)

LCM = 21240340/11

LCM = 1930940

Thus, we can understand that the LCM of 3685,5764 is 1930940.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3685, 5764

1. What is the LCM of 3685, 5764?

Answer: LCM of 3685, 5764 is 1930940.

2. How to calculate the LCM of 3685, 5764?

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 3685, 5764.

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}.