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LCM of 226, 398, 421, 882

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


Find the LCM of 226, 398, 421, 882 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, 398, 421, 882. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 226,398,421,882

Given numbers are 226,398,421,882

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

The LCM of 226,398,421,882 is 8349917814.

Find LCM of 226,398,421,882 with Prime Factorization


2 226, 398, 421, 882
113, 199, 421, 441

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

2 x 113 x 199 x 421 x 441 = 8349917814

Therefore, the lowest common multiple of 226,398,421,882 is 8349917814.

LCM Formula to Find Lowest Common Multiple of 226,398,421,882

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 398 x 421 x 882 = 33399671256

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

398 : 1, 2, 199, 398

421 : 1, 421

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,398,421,882, is 1.

Now, the common factors can be found like this.

226:2x 113

398:2x 199

421:421

882:2x 3x 3x 7x 7

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 33399671256/(1x4)

LCM = 33399671256/4

LCM = 8349917814

Thus, we can understand that the LCM of 226,398,421,882 is 8349917814.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 226, 398, 421, 882

1. What is the LCM of 226, 398, 421, 882?

Answer: LCM of 226, 398, 421, 882 is 8349917814.

2. How to calculate the LCM of 226, 398, 421, 882?

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, 398, 421, 882.

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}.