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LCM of 249, 422, 654, 201, 903

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


Find the LCM of 249, 422, 654, 201, 903 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 249, 422, 654, 201, 903. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 249,422,654,201,903

Given numbers are 249,422,654,201,903

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

The LCM of 249,422,654,201,903 is 230982774834.

Find LCM of 249,422,654,201,903 with Prime Factorization


2 249, 422, 654, 201, 903
3 249, 211, 327, 201, 903
83, 211, 109, 67, 301

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

2 x 3 x 83 x 211 x 109 x 67 x 301 = 230982774834

Therefore, the lowest common multiple of 249,422,654,201,903 is 230982774834.

LCM Formula to Find Lowest Common Multiple of 249,422,654,201,903

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.

249 x 422 x 654 x 201 x 903 = 12473069841036

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.

249 : 1, 3, 83, 249

422 : 1, 2, 211, 422

654 : 1, 2, 3, 6, 109, 218, 327, 654

201 : 1, 3, 67, 201

903 : 1, 3, 7, 21, 43, 129, 301, 903

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,422,654,201,903, is 1.

Now, the common factors can be found like this.

249:3x 83

422:2x 211

654:2x 3x 109

201:3x 67

903:3x 7x 43

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 12473069841036/(1x54)

LCM = 12473069841036/54

LCM = 230982774834

Thus, we can understand that the LCM of 249,422,654,201,903 is 230982774834.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 249, 422, 654, 201, 903

1. What is the LCM of 249, 422, 654, 201, 903?

Answer: LCM of 249, 422, 654, 201, 903 is 230982774834.

2. How to calculate the LCM of 249, 422, 654, 201, 903?

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 249, 422, 654, 201, 903.

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}.