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LCM of 264, 4946

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


Find the LCM of 264, 4946 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 264, 4946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 264,4946

Given numbers are 264,4946

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

The LCM of 264,4946 is 652872.

Find LCM of 264,4946 with Prime Factorization


2 264, 4946
132, 2473

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

2 x 132 x 2473 = 652872

Therefore, the lowest common multiple of 264,4946 is 652872.

LCM Formula to Find Lowest Common Multiple of 264,4946

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.

264 x 4946 = 1305744

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

4946 : 1, 2, 2473, 4946

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,4946, is 2.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

4946:2x 2473

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 = 1305744/(2x1)

LCM = 1305744/2

LCM = 652872

Thus, we can understand that the LCM of 264,4946 is 652872.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 264, 4946

1. What is the LCM of 264, 4946?

Answer: LCM of 264, 4946 is 652872.

2. How to calculate the LCM of 264, 4946?

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 264, 4946.

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}.