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LCM of 145, 881, 563, 535, 485

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


Find the LCM of 145, 881, 563, 535, 485 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 145, 881, 563, 535, 485. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 145,881,563,535,485

Given numbers are 145,881,563,535,485

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

The LCM of 145,881,563,535,485 is 746462194865.

Find LCM of 145,881,563,535,485 with Prime Factorization


5 145, 881, 563, 535, 485
29, 881, 563, 107, 97

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

5 x 29 x 881 x 563 x 107 x 97 = 746462194865

Therefore, the lowest common multiple of 145,881,563,535,485 is 746462194865.

LCM Formula to Find Lowest Common Multiple of 145,881,563,535,485

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.

145 x 881 x 563 x 535 x 485 = 18661554871625

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.

145 : 1, 5, 29, 145

881 : 1, 881

563 : 1, 563

535 : 1, 5, 107, 535

485 : 1, 5, 97, 485

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,881,563,535,485, is 1.

Now, the common factors can be found like this.

145:5x 29

881:881

563:563

535:5x 107

485:5x 97

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 18661554871625/(1x25)

LCM = 18661554871625/25

LCM = 746462194865

Thus, we can understand that the LCM of 145,881,563,535,485 is 746462194865.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 145, 881, 563, 535, 485

1. What is the LCM of 145, 881, 563, 535, 485?

Answer: LCM of 145, 881, 563, 535, 485 is 746462194865.

2. How to calculate the LCM of 145, 881, 563, 535, 485?

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 145, 881, 563, 535, 485.

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}.