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LCM of 2654, 9042

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


Find the LCM of 2654, 9042 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 2654, 9042. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2654,9042

Given numbers are 2654,9042

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

The LCM of 2654,9042 is 11998734.

Find LCM of 2654,9042 with Prime Factorization


2 2654, 9042
1327, 4521

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

2 x 1327 x 4521 = 11998734

Therefore, the lowest common multiple of 2654,9042 is 11998734.

LCM Formula to Find Lowest Common Multiple of 2654,9042

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.

2654 x 9042 = 23997468

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.

2654 : 1, 2, 1327, 2654

9042 : 1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521, 9042

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2654,9042, is 2.

Now, the common factors can be found like this.

2654:2x 1327

9042:2x 3x 11x 137

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 = 23997468/(2x1)

LCM = 23997468/2

LCM = 11998734

Thus, we can understand that the LCM of 2654,9042 is 11998734.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2654, 9042

1. What is the LCM of 2654, 9042?

Answer: LCM of 2654, 9042 is 11998734.

2. How to calculate the LCM of 2654, 9042?

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 2654, 9042.

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}.