LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 270, 955, 961, 826

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


Find the LCM of 270, 955, 961, 826 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 270, 955, 961, 826. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 270,955,961,826

Given numbers are 270,955,961,826

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

The LCM of 270,955,961,826 is 20467772010.

Find LCM of 270,955,961,826 with Prime Factorization


2 270, 955, 961, 826
5 135, 955, 961, 413
27, 191, 961, 413

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

2 x 5 x 27 x 191 x 961 x 413 = 20467772010

Therefore, the lowest common multiple of 270,955,961,826 is 20467772010.

LCM Formula to Find Lowest Common Multiple of 270,955,961,826

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.

270 x 955 x 961 x 826 = 204677720100

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

955 : 1, 5, 191, 955

961 : 1, 31, 961

826 : 1, 2, 7, 14, 59, 118, 413, 826

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,955,961,826, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

955:5x 191

961:31x 31

826:2x 7x 59

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 204677720100/(1x10)

LCM = 204677720100/10

LCM = 20467772010

Thus, we can understand that the LCM of 270,955,961,826 is 20467772010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 270, 955, 961, 826

1. What is the LCM of 270, 955, 961, 826?

Answer: LCM of 270, 955, 961, 826 is 20467772010.

2. How to calculate the LCM of 270, 955, 961, 826?

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 270, 955, 961, 826.

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}.