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LCM of 2794, 3454

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


Find the LCM of 2794, 3454 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 2794, 3454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2794,3454

Given numbers are 2794,3454

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

The LCM of 2794,3454 is 438658.

Find LCM of 2794,3454 with Prime Factorization


2 2794, 3454
11 1397, 1727
127, 157

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

2 x 11 x 127 x 157 = 438658

Therefore, the lowest common multiple of 2794,3454 is 438658.

LCM Formula to Find Lowest Common Multiple of 2794,3454

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.

2794 x 3454 = 9650476

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.

2794 : 1, 2, 11, 22, 127, 254, 1397, 2794

3454 : 1, 2, 11, 22, 157, 314, 1727, 3454

22 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2794,3454, is 22.

Now, the common factors can be found like this.

2794:2x 11x 127

3454:2x 11x 157

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 = 9650476/(22x1)

LCM = 9650476/22

LCM = 438658

Thus, we can understand that the LCM of 2794,3454 is 438658.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2794, 3454

1. What is the LCM of 2794, 3454?

Answer: LCM of 2794, 3454 is 438658.

2. How to calculate the LCM of 2794, 3454?

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 2794, 3454.

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}.