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LCM of 1012, 1234

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


Find the LCM of 1012, 1234 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 1012, 1234. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1012,1234

Given numbers are 1012,1234

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

The LCM of 1012,1234 is 624404.

Find LCM of 1012,1234 with Prime Factorization


2 1012, 1234
506, 617

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

2 x 506 x 617 = 624404

Therefore, the lowest common multiple of 1012,1234 is 624404.

LCM Formula to Find Lowest Common Multiple of 1012,1234

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.

1012 x 1234 = 1248808

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.

1012 : 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012

1234 : 1, 2, 617, 1234

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1012,1234, is 2.

Now, the common factors can be found like this.

1012:2x 2x 11x 23

1234:2x 617

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 = 1248808/(2x1)

LCM = 1248808/2

LCM = 624404

Thus, we can understand that the LCM of 1012,1234 is 624404.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1012, 1234

1. What is the LCM of 1012, 1234?

Answer: LCM of 1012, 1234 is 624404.

2. How to calculate the LCM of 1012, 1234?

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 1012, 1234.

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}.