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LCM of 485, 249, 567, 194

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


Find the LCM of 485, 249, 567, 194 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 485, 249, 567, 194. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 485,249,567,194

Given numbers are 485,249,567,194

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

The LCM of 485,249,567,194 is 45649170.

Find LCM of 485,249,567,194 with Prime Factorization


3 485, 249, 567, 194
97 485, 83, 189, 194
5, 83, 189, 2

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

3 x 97 x 5 x 83 x 189 x 2 = 45649170

Therefore, the lowest common multiple of 485,249,567,194 is 45649170.

LCM Formula to Find Lowest Common Multiple of 485,249,567,194

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.

485 x 249 x 567 x 194 = 13283908470

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.

485 : 1, 5, 97, 485

249 : 1, 3, 83, 249

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,249,567,194, is 1.

Now, the common factors can be found like this.

485:5x 97

249:3x 83

567:3x 3x 3x 3x 7

194:2x 97

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

3x 97 = 291

Therefore, the value for common factors is 291.

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 = 13283908470/(1x291)

LCM = 13283908470/291

LCM = 45649170

Thus, we can understand that the LCM of 485,249,567,194 is 45649170.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 485, 249, 567, 194

1. What is the LCM of 485, 249, 567, 194?

Answer: LCM of 485, 249, 567, 194 is 45649170.

2. How to calculate the LCM of 485, 249, 567, 194?

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 485, 249, 567, 194.

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}.