LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 222, 589, 666, 720, 690

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


Find the LCM of 222, 589, 666, 720, 690 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, 589, 666, 720, 690. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 222,589,666,720,690

Given numbers are 222,589,666,720,690

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

The LCM of 222,589,666,720,690 is 360892080.

Find LCM of 222,589,666,720,690 with Prime Factorization


2 222, 589, 666, 720, 690
3 111, 589, 333, 360, 345
3 37, 589, 111, 120, 115
5 37, 589, 37, 40, 115
37 37, 589, 37, 8, 23
1, 589, 1, 8, 23

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

2 x 3 x 3 x 5 x 37 x 1 x 589 x 1 x 8 x 23 = 360892080

Therefore, the lowest common multiple of 222,589,666,720,690 is 360892080.

LCM Formula to Find Lowest Common Multiple of 222,589,666,720,690

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 589 x 666 x 720 x 690 = 43263742550400

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

589 : 1, 19, 31, 589

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,589,666,720,690, is 1.

Now, the common factors can be found like this.

222:2x 3x 37

589:19x 31

666:2x 3x 3x 37

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

690:2x 3x 5x 23

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 3x 3x 3x 5x 37 = 119880

Therefore, the value for common factors is 119880.

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 = 43263742550400/(1x119880)

LCM = 43263742550400/119880

LCM = 360892080

Thus, we can understand that the LCM of 222,589,666,720,690 is 360892080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 222, 589, 666, 720, 690

1. What is the LCM of 222, 589, 666, 720, 690?

Answer: LCM of 222, 589, 666, 720, 690 is 360892080.

2. How to calculate the LCM of 222, 589, 666, 720, 690?

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, 589, 666, 720, 690.

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}.