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LCM of 3451, 1887

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


Find the LCM of 3451, 1887 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 3451, 1887. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3451,1887

Given numbers are 3451,1887

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

The LCM of 3451,1887 is 383061.

Find LCM of 3451,1887 with Prime Factorization


17 3451, 1887
203, 111

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

17 x 203 x 111 = 383061

Therefore, the lowest common multiple of 3451,1887 is 383061.

LCM Formula to Find Lowest Common Multiple of 3451,1887

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.

3451 x 1887 = 6512037

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.

3451 : 1, 7, 17, 29, 119, 203, 493, 3451

1887 : 1, 3, 17, 37, 51, 111, 629, 1887

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3451,1887, is 17.

Now, the common factors can be found like this.

3451:7x 17x 29

1887:3x 17x 37

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 = 6512037/(17x1)

LCM = 6512037/17

LCM = 383061

Thus, we can understand that the LCM of 3451,1887 is 383061.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3451, 1887

1. What is the LCM of 3451, 1887?

Answer: LCM of 3451, 1887 is 383061.

2. How to calculate the LCM of 3451, 1887?

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 3451, 1887.

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}.