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LCM of 270, 847, 418, 491, 445

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


Find the LCM of 270, 847, 418, 491, 445 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, 847, 418, 491, 445. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 270,847,418,491,445

Given numbers are 270,847,418,491,445

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

The LCM of 270,847,418,491,445 is 189876961890.

Find LCM of 270,847,418,491,445 with Prime Factorization


2 270, 847, 418, 491, 445
5 135, 847, 209, 491, 445
11 27, 847, 209, 491, 89
27, 77, 19, 491, 89

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

2 x 5 x 11 x 27 x 77 x 19 x 491 x 89 = 189876961890

Therefore, the lowest common multiple of 270,847,418,491,445 is 189876961890.

LCM Formula to Find Lowest Common Multiple of 270,847,418,491,445

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 847 x 418 x 491 x 445 = 20886465807900

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

847 : 1, 7, 11, 77, 121, 847

418 : 1, 2, 11, 19, 22, 38, 209, 418

491 : 1, 491

445 : 1, 5, 89, 445

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,847,418,491,445, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

847:7x 11x 11

418:2x 11x 19

491:491

445:5x 89

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

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 20886465807900/(1x110)

LCM = 20886465807900/110

LCM = 189876961890

Thus, we can understand that the LCM of 270,847,418,491,445 is 189876961890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 270, 847, 418, 491, 445

1. What is the LCM of 270, 847, 418, 491, 445?

Answer: LCM of 270, 847, 418, 491, 445 is 189876961890.

2. How to calculate the LCM of 270, 847, 418, 491, 445?

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, 847, 418, 491, 445.

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}.