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LCM of 2139, 9476

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


Find the LCM of 2139, 9476 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 2139, 9476. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2139,9476

Given numbers are 2139,9476

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

The LCM of 2139,9476 is 881268.

Find LCM of 2139,9476 with Prime Factorization


23 2139, 9476
93, 412

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

23 x 93 x 412 = 881268

Therefore, the lowest common multiple of 2139,9476 is 881268.

LCM Formula to Find Lowest Common Multiple of 2139,9476

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.

2139 x 9476 = 20269164

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.

2139 : 1, 3, 23, 31, 69, 93, 713, 2139

9476 : 1, 2, 4, 23, 46, 92, 103, 206, 412, 2369, 4738, 9476

23 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2139,9476, is 23.

Now, the common factors can be found like this.

2139:3x 23x 31

9476:2x 2x 23x 103

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 = 20269164/(23x1)

LCM = 20269164/23

LCM = 881268

Thus, we can understand that the LCM of 2139,9476 is 881268.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2139, 9476

1. What is the LCM of 2139, 9476?

Answer: LCM of 2139, 9476 is 881268.

2. How to calculate the LCM of 2139, 9476?

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 2139, 9476.

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}.