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LCM of 222, 999, 306, 720

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


Find the LCM of 222, 999, 306, 720 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 222, 999, 306, 720. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 222,999,306,720

Given numbers are 222,999,306,720

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

The LCM of 222,999,306,720 is 1358640.

Find LCM of 222,999,306,720 with Prime Factorization


2 222, 999, 306, 720
3 111, 999, 153, 360
3 37, 333, 51, 120
37 37, 111, 17, 40
1, 3, 17, 40

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

2 x 3 x 3 x 37 x 1 x 3 x 17 x 40 = 1358640

Therefore, the lowest common multiple of 222,999,306,720 is 1358640.

LCM Formula to Find Lowest Common Multiple of 222,999,306,720

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.

222 x 999 x 306 x 720 = 48862128960

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.

222 : 1, 2, 3, 6, 37, 74, 111, 222

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,999,306,720, is 3.

Now, the common factors can be found like this.

222:2x 3x 37

999:3x 3x 3x 37

306:2x 3x 3x 17

720:2x 2x 2x 2x 3x 3x 5

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 3x 3x 3x 3x 37 = 11988

Therefore, the value for common factors is 11988.

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 = 48862128960/(3x11988)

LCM = 48862128960/35964

LCM = 1358640

Thus, we can understand that the LCM of 222,999,306,720 is 1358640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 222, 999, 306, 720

1. What is the LCM of 222, 999, 306, 720?

Answer: LCM of 222, 999, 306, 720 is 1358640.

2. How to calculate the LCM of 222, 999, 306, 720?

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 222, 999, 306, 720.

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}.