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LCM of 454, 773, 226, 226, 421

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


Find the LCM of 454, 773, 226, 226, 421 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 454, 773, 226, 226, 421. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 454,773,226,226,421

Given numbers are 454,773,226,226,421

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

The LCM of 454,773,226,226,421 is 16695363766.

Find LCM of 454,773,226,226,421 with Prime Factorization


2 454, 773, 226, 226, 421
113 227, 773, 113, 113, 421
227, 773, 1, 1, 421

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

2 x 113 x 227 x 773 x 1 x 1 x 421 = 16695363766

Therefore, the lowest common multiple of 454,773,226,226,421 is 16695363766.

LCM Formula to Find Lowest Common Multiple of 454,773,226,226,421

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.

454 x 773 x 226 x 226 x 421 = 7546304422232

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.

454 : 1, 2, 227, 454

773 : 1, 773

226 : 1, 2, 113, 226

226 : 1, 2, 113, 226

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,773,226,226,421, is 1.

Now, the common factors can be found like this.

454:2x 227

773:773

226:2x 113

226:2x 113

421:421

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 113 = 452

Therefore, the value for common factors is 452.

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 = 7546304422232/(1x452)

LCM = 7546304422232/452

LCM = 16695363766

Thus, we can understand that the LCM of 454,773,226,226,421 is 16695363766.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 454, 773, 226, 226, 421

1. What is the LCM of 454, 773, 226, 226, 421?

Answer: LCM of 454, 773, 226, 226, 421 is 16695363766.

2. How to calculate the LCM of 454, 773, 226, 226, 421?

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 454, 773, 226, 226, 421.

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}.