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LCM of 3610, 1678

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


Find the LCM of 3610, 1678 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 3610, 1678. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3610,1678

Given numbers are 3610,1678

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

The LCM of 3610,1678 is 3028790.

Find LCM of 3610,1678 with Prime Factorization


2 3610, 1678
1805, 839

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

2 x 1805 x 839 = 3028790

Therefore, the lowest common multiple of 3610,1678 is 3028790.

LCM Formula to Find Lowest Common Multiple of 3610,1678

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.

3610 x 1678 = 6057580

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.

3610 : 1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610

1678 : 1, 2, 839, 1678

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3610,1678, is 2.

Now, the common factors can be found like this.

3610:2x 5x 19x 19

1678:2x 839

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 = 6057580/(2x1)

LCM = 6057580/2

LCM = 3028790

Thus, we can understand that the LCM of 3610,1678 is 3028790.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3610, 1678

1. What is the LCM of 3610, 1678?

Answer: LCM of 3610, 1678 is 3028790.

2. How to calculate the LCM of 3610, 1678?

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 3610, 1678.

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}.