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LCM of 227, 990, 199, 404, 749

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


Find the LCM of 227, 990, 199, 404, 749 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 227, 990, 199, 404, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 227,990,199,404,749

Given numbers are 227,990,199,404,749

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

The LCM of 227,990,199,404,749 is 6766238708460.

Find LCM of 227,990,199,404,749 with Prime Factorization


2 227, 990, 199, 404, 749
227, 495, 199, 202, 749

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

2 x 227 x 495 x 199 x 202 x 749 = 6766238708460

Therefore, the lowest common multiple of 227,990,199,404,749 is 6766238708460.

LCM Formula to Find Lowest Common Multiple of 227,990,199,404,749

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.

227 x 990 x 199 x 404 x 749 = 13532477416920

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.

227 : 1, 227

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

199 : 1, 199

404 : 1, 2, 4, 101, 202, 404

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,990,199,404,749, is 1.

Now, the common factors can be found like this.

227:227

990:2x 3x 3x 5x 11

199:199

404:2x 2x 101

749:7x 107

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 = 13532477416920/(1x2)

LCM = 13532477416920/2

LCM = 6766238708460

Thus, we can understand that the LCM of 227,990,199,404,749 is 6766238708460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 227, 990, 199, 404, 749

1. What is the LCM of 227, 990, 199, 404, 749?

Answer: LCM of 227, 990, 199, 404, 749 is 6766238708460.

2. How to calculate the LCM of 227, 990, 199, 404, 749?

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 227, 990, 199, 404, 749.

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}.