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LCM of 222, 668, 678, 822, 321

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


Find the LCM of 222, 668, 678, 822, 321 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, 668, 678, 822, 321. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 222,668,678,822,321

Given numbers are 222,668,678,822,321

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

The LCM of 222,668,678,822,321 is 122823715116.

Find LCM of 222,668,678,822,321 with Prime Factorization


2 222, 668, 678, 822, 321
3 111, 334, 339, 411, 321
37, 334, 113, 137, 107

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

2 x 3 x 37 x 334 x 113 x 137 x 107 = 122823715116

Therefore, the lowest common multiple of 222,668,678,822,321 is 122823715116.

LCM Formula to Find Lowest Common Multiple of 222,668,678,822,321

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 668 x 678 x 822 x 321 = 26529922465056

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

668 : 1, 2, 4, 167, 334, 668

678 : 1, 2, 3, 6, 113, 226, 339, 678

822 : 1, 2, 3, 6, 137, 274, 411, 822

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,668,678,822,321, is 1.

Now, the common factors can be found like this.

222:2x 3x 37

668:2x 2x 167

678:2x 3x 113

822:2x 3x 137

321:3x 107

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 3 = 216

Therefore, the value for common factors is 216.

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 = 26529922465056/(1x216)

LCM = 26529922465056/216

LCM = 122823715116

Thus, we can understand that the LCM of 222,668,678,822,321 is 122823715116.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 222, 668, 678, 822, 321

1. What is the LCM of 222, 668, 678, 822, 321?

Answer: LCM of 222, 668, 678, 822, 321 is 122823715116.

2. How to calculate the LCM of 222, 668, 678, 822, 321?

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, 668, 678, 822, 321.

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}.