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LCM of 271, 813, 144, 631, 693

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


Find the LCM of 271, 813, 144, 631, 693 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 271, 813, 144, 631, 693. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 271,813,144,631,693

Given numbers are 271,813,144,631,693

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

The LCM of 271,813,144,631,693 is 1896059088.

Find LCM of 271,813,144,631,693 with Prime Factorization


3 271, 813, 144, 631, 693
3 271, 271, 48, 631, 231
271 271, 271, 16, 631, 77
1, 1, 16, 631, 77

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

3 x 3 x 271 x 1 x 1 x 16 x 631 x 77 = 1896059088

Therefore, the lowest common multiple of 271,813,144,631,693 is 1896059088.

LCM Formula to Find Lowest Common Multiple of 271,813,144,631,693

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.

271 x 813 x 144 x 631 x 693 = 13873464346896

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.

271 : 1, 271

813 : 1, 3, 271, 813

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

631 : 1, 631

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,813,144,631,693, is 1.

Now, the common factors can be found like this.

271:271

813:3x 271

144:2x 2x 2x 2x 3x 3

631:631

693:3x 3x 7x 11

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

3x 3x 3x 271 = 7317

Therefore, the value for common factors is 7317.

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 = 13873464346896/(1x7317)

LCM = 13873464346896/7317

LCM = 1896059088

Thus, we can understand that the LCM of 271,813,144,631,693 is 1896059088.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 271, 813, 144, 631, 693

1. What is the LCM of 271, 813, 144, 631, 693?

Answer: LCM of 271, 813, 144, 631, 693 is 1896059088.

2. How to calculate the LCM of 271, 813, 144, 631, 693?

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 271, 813, 144, 631, 693.

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}.