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LCM of 422, 745, 103, 304

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


Find the LCM of 422, 745, 103, 304 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 422, 745, 103, 304. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,745,103,304

Given numbers are 422,745,103,304

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

The LCM of 422,745,103,304 is 4922089840.

Find LCM of 422,745,103,304 with Prime Factorization


2 422, 745, 103, 304
211, 745, 103, 152

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

2 x 211 x 745 x 103 x 152 = 4922089840

Therefore, the lowest common multiple of 422,745,103,304 is 4922089840.

LCM Formula to Find Lowest Common Multiple of 422,745,103,304

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.

422 x 745 x 103 x 304 = 9844179680

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.

422 : 1, 2, 211, 422

745 : 1, 5, 149, 745

103 : 1, 103

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,745,103,304, is 1.

Now, the common factors can be found like this.

422:2x 211

745:5x 149

103:103

304:2x 2x 2x 2x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 9844179680/(1x2)

LCM = 9844179680/2

LCM = 4922089840

Thus, we can understand that the LCM of 422,745,103,304 is 4922089840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 422, 745, 103, 304

1. What is the LCM of 422, 745, 103, 304?

Answer: LCM of 422, 745, 103, 304 is 4922089840.

2. How to calculate the LCM of 422, 745, 103, 304?

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 422, 745, 103, 304.

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}.