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LCM of 6146, 5478

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


Find the LCM of 6146, 5478 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 6146, 5478. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6146,5478

Given numbers are 6146,5478

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

The LCM of 6146,5478 is 16833894.

Find LCM of 6146,5478 with Prime Factorization


2 6146, 5478
3073, 2739

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

2 x 3073 x 2739 = 16833894

Therefore, the lowest common multiple of 6146,5478 is 16833894.

LCM Formula to Find Lowest Common Multiple of 6146,5478

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.

6146 x 5478 = 33667788

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.

6146 : 1, 2, 7, 14, 439, 878, 3073, 6146

5478 : 1, 2, 3, 6, 11, 22, 33, 66, 83, 166, 249, 498, 913, 1826, 2739, 5478

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6146,5478, is 2.

Now, the common factors can be found like this.

6146:2x 7x 439

5478:2x 3x 11x 83

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 = 33667788/(2x1)

LCM = 33667788/2

LCM = 16833894

Thus, we can understand that the LCM of 6146,5478 is 16833894.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6146, 5478

1. What is the LCM of 6146, 5478?

Answer: LCM of 6146, 5478 is 16833894.

2. How to calculate the LCM of 6146, 5478?

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 6146, 5478.

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}.