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LCM of 264, 713, 920, 999

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


Find the LCM of 264, 713, 920, 999 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, 713, 920, 999. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 264,713,920,999

Given numbers are 264,713,920,999

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

The LCM of 264,713,920,999 is 313406280.

Find LCM of 264,713,920,999 with Prime Factorization


2 264, 713, 920, 999
2 132, 713, 460, 999
2 66, 713, 230, 999
3 33, 713, 115, 999
23 11, 713, 115, 333
11, 31, 5, 333

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

2 x 2 x 2 x 3 x 23 x 11 x 31 x 5 x 333 = 313406280

Therefore, the lowest common multiple of 264,713,920,999 is 313406280.

LCM Formula to Find Lowest Common Multiple of 264,713,920,999

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 713 x 920 x 999 = 173000266560

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

713 : 1, 23, 31, 713

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

999 : 1, 3, 9, 27, 37, 111, 333, 999

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,713,920,999, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

713:23x 31

920:2x 2x 2x 5x 23

999:3x 3x 3x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 23 = 552

Therefore, the value for common factors is 552.

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 = 173000266560/(1x552)

LCM = 173000266560/552

LCM = 313406280

Thus, we can understand that the LCM of 264,713,920,999 is 313406280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 264, 713, 920, 999

1. What is the LCM of 264, 713, 920, 999?

Answer: LCM of 264, 713, 920, 999 is 313406280.

2. How to calculate the LCM of 264, 713, 920, 999?

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, 713, 920, 999.

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}.