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LCM of 1812, 7914

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


Find the LCM of 1812, 7914 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 1812, 7914. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1812,7914

Given numbers are 1812,7914

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

The LCM of 1812,7914 is 2390028.

Find LCM of 1812,7914 with Prime Factorization


2 1812, 7914
3 906, 3957
302, 1319

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

2 x 3 x 302 x 1319 = 2390028

Therefore, the lowest common multiple of 1812,7914 is 2390028.

LCM Formula to Find Lowest Common Multiple of 1812,7914

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.

1812 x 7914 = 14340168

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.

1812 : 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812

7914 : 1, 2, 3, 6, 1319, 2638, 3957, 7914

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1812,7914, is 6.

Now, the common factors can be found like this.

1812:2x 2x 3x 151

7914:2x 3x 1319

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 = 14340168/(6x1)

LCM = 14340168/6

LCM = 2390028

Thus, we can understand that the LCM of 1812,7914 is 2390028.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1812, 7914

1. What is the LCM of 1812, 7914?

Answer: LCM of 1812, 7914 is 2390028.

2. How to calculate the LCM of 1812, 7914?

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 1812, 7914.

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}.