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LCM of 3667, 3860

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


Find the LCM of 3667, 3860 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 3667, 3860. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3667,3860

Given numbers are 3667,3860

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

The LCM of 3667,3860 is 73340.

Find LCM of 3667,3860 with Prime Factorization


193 3667, 3860
19, 20

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

193 x 19 x 20 = 73340

Therefore, the lowest common multiple of 3667,3860 is 73340.

LCM Formula to Find Lowest Common Multiple of 3667,3860

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.

3667 x 3860 = 14154620

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.

3667 : 1, 19, 193, 3667

3860 : 1, 2, 4, 5, 10, 20, 193, 386, 772, 965, 1930, 3860

193 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3667,3860, is 193.

Now, the common factors can be found like this.

3667:19x 193

3860:2x 2x 5x 193

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 = 14154620/(193x1)

LCM = 14154620/193

LCM = 73340

Thus, we can understand that the LCM of 3667,3860 is 73340.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3667, 3860

1. What is the LCM of 3667, 3860?

Answer: LCM of 3667, 3860 is 73340.

2. How to calculate the LCM of 3667, 3860?

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 3667, 3860.

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}.