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LCM of 226, 242, 245, 427

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


Find the LCM of 226, 242, 245, 427 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 226, 242, 245, 427. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 226,242,245,427

Given numbers are 226,242,245,427

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

The LCM of 226,242,245,427 is 408685970.

Find LCM of 226,242,245,427 with Prime Factorization


2 226, 242, 245, 427
7 113, 121, 245, 427
113, 121, 35, 61

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

2 x 7 x 113 x 121 x 35 x 61 = 408685970

Therefore, the lowest common multiple of 226,242,245,427 is 408685970.

LCM Formula to Find Lowest Common Multiple of 226,242,245,427

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.

226 x 242 x 245 x 427 = 5721603580

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.

226 : 1, 2, 113, 226

242 : 1, 2, 11, 22, 121, 242

245 : 1, 5, 7, 35, 49, 245

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,242,245,427, is 1.

Now, the common factors can be found like this.

226:2x 113

242:2x 11x 11

245:5x 7x 7

427:7x 61

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 5721603580/(1x14)

LCM = 5721603580/14

LCM = 408685970

Thus, we can understand that the LCM of 226,242,245,427 is 408685970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 226, 242, 245, 427

1. What is the LCM of 226, 242, 245, 427?

Answer: LCM of 226, 242, 245, 427 is 408685970.

2. How to calculate the LCM of 226, 242, 245, 427?

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 226, 242, 245, 427.

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}.