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LCM of 1963, 1898

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


Find the LCM of 1963, 1898 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 1963, 1898. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1963,1898

Given numbers are 1963,1898

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

The LCM of 1963,1898 is 286598.

Find LCM of 1963,1898 with Prime Factorization


13 1963, 1898
151, 146

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

13 x 151 x 146 = 286598

Therefore, the lowest common multiple of 1963,1898 is 286598.

LCM Formula to Find Lowest Common Multiple of 1963,1898

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.

1963 x 1898 = 3725774

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.

1963 : 1, 13, 151, 1963

1898 : 1, 2, 13, 26, 73, 146, 949, 1898

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1963,1898, is 13.

Now, the common factors can be found like this.

1963:13x 151

1898:2x 13x 73

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 = 3725774/(13x1)

LCM = 3725774/13

LCM = 286598

Thus, we can understand that the LCM of 1963,1898 is 286598.

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FAQs on LCM of 1963, 1898

1. What is the LCM of 1963, 1898?

Answer: LCM of 1963, 1898 is 286598.

2. How to calculate the LCM of 1963, 1898?

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 1963, 1898.

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}.